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Finding the Fourth Proportional to 5,882.74, 8,116.11 and 3,642.28

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Solution

The fourth proportional to 5,882.74, 8,116.11 and 3,642.28 is: 5,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.74 : 8,116.11 = 3,642.28 : x
  2. Step 2: Convert to fraction form
    5,882.74/8,116.11 = 3,642.28/x
  3. Step 3: Cross multiply
    5,882.74x = 8,116.11 × 3,642.28
  4. Step 4: Simplify right side
    5,882.74x = 29,561,145.13
  5. Step 5: Solve for x
    x = 29,561,145.13/5,882.74
  6. Step 6: Final answer
    x = 5,025.06

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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.