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Finding the Fourth Proportional to 5,689.24, 8,564.05 and 4,057.08

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Solution

The fourth proportional to 5,689.24, 8,564.05 and 4,057.08 is: 6,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.24 : 8,564.05 = 4,057.08 : x
  2. Step 2: Convert to fraction form
    5,689.24/8,564.05 = 4,057.08/x
  3. Step 3: Cross multiply
    5,689.24x = 8,564.05 × 4,057.08
  4. Step 4: Simplify right side
    5,689.24x = 34,745,035.97
  5. Step 5: Solve for x
    x = 34,745,035.97/5,689.24
  6. Step 6: Final answer
    x = 6,107.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.