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Finding the Fourth Proportional to 5,842.71, 8,058.69 and 3,716.13

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Solution

The fourth proportional to 5,842.71, 8,058.69 and 3,716.13 is: 5,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.71 : 8,058.69 = 3,716.13 : x
  2. Step 2: Convert to fraction form
    5,842.71/8,058.69 = 3,716.13/x
  3. Step 3: Cross multiply
    5,842.71x = 8,058.69 × 3,716.13
  4. Step 4: Simplify right side
    5,842.71x = 29,947,139.67
  5. Step 5: Solve for x
    x = 29,947,139.67/5,842.71
  6. Step 6: Final answer
    x = 5,125.56

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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.