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Finding the Fourth Proportional to 5,531.29, 7,635.97 and 3,645.61

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Solution

The fourth proportional to 5,531.29, 7,635.97 and 3,645.61 is: 5,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.29 : 7,635.97 = 3,645.61 : x
  2. Step 2: Convert to fraction form
    5,531.29/7,635.97 = 3,645.61/x
  3. Step 3: Cross multiply
    5,531.29x = 7,635.97 × 3,645.61
  4. Step 4: Simplify right side
    5,531.29x = 27,837,754.06
  5. Step 5: Solve for x
    x = 27,837,754.06/5,531.29
  6. Step 6: Final answer
    x = 5,032.78

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