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Finding the Fourth Proportional to 5,042.72, 7,565.07 and 1,755.92

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Solution

The fourth proportional to 5,042.72, 7,565.07 and 1,755.92 is: 2,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.72 : 7,565.07 = 1,755.92 : x
  2. Step 2: Convert to fraction form
    5,042.72/7,565.07 = 1,755.92/x
  3. Step 3: Cross multiply
    5,042.72x = 7,565.07 × 1,755.92
  4. Step 4: Simplify right side
    5,042.72x = 13,283,657.71
  5. Step 5: Solve for x
    x = 13,283,657.71/5,042.72
  6. Step 6: Final answer
    x = 2,634.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.