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Finding the Fourth Proportional to 6,142.56, 8,476.92 and 3,489.72

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Solution

The fourth proportional to 6,142.56, 8,476.92 and 3,489.72 is: 4,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 8,476.92 = 3,489.72 : x
  2. Step 2: Convert to fraction form
    6,142.56/8,476.92 = 3,489.72/x
  3. Step 3: Cross multiply
    6,142.56x = 8,476.92 × 3,489.72
  4. Step 4: Simplify right side
    6,142.56x = 29,582,077.26
  5. Step 5: Solve for x
    x = 29,582,077.26/6,142.56
  6. Step 6: Final answer
    x = 4,815.92

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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.