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Finding the Fourth Proportional to 5,876.92, 8,110.14 and 3,224.32

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Solution

The fourth proportional to 5,876.92, 8,110.14 and 3,224.32 is: 4,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.92 : 8,110.14 = 3,224.32 : x
  2. Step 2: Convert to fraction form
    5,876.92/8,110.14 = 3,224.32/x
  3. Step 3: Cross multiply
    5,876.92x = 8,110.14 × 3,224.32
  4. Step 4: Simplify right side
    5,876.92x = 26,149,686.60
  5. Step 5: Solve for x
    x = 26,149,686.60/5,876.92
  6. Step 6: Final answer
    x = 4,449.56

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Half scale
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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.