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Finding the Fourth Proportional to 5,876.66, 8,109.80 and 3,224.10

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Solution

The fourth proportional to 5,876.66, 8,109.80 and 3,224.10 is: 4,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.66 : 8,109.80 = 3,224.10 : x
  2. Step 2: Convert to fraction form
    5,876.66/8,109.80 = 3,224.10/x
  3. Step 3: Cross multiply
    5,876.66x = 8,109.80 × 3,224.10
  4. Step 4: Simplify right side
    5,876.66x = 26,146,806.18
  5. Step 5: Solve for x
    x = 26,146,806.18/5,876.66
  6. Step 6: Final answer
    x = 4,449.26

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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.