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Finding the Fourth Proportional to 5,876.64, 8,109.77 and 3,224.22

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Solution

The fourth proportional to 5,876.64, 8,109.77 and 3,224.22 is: 4,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.64 : 8,109.77 = 3,224.22 : x
  2. Step 2: Convert to fraction form
    5,876.64/8,109.77 = 3,224.22/x
  3. Step 3: Cross multiply
    5,876.64x = 8,109.77 × 3,224.22
  4. Step 4: Simplify right side
    5,876.64x = 26,147,682.63
  5. Step 5: Solve for x
    x = 26,147,682.63/5,876.64
  6. Step 6: Final answer
    x = 4,449.43

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.