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Finding the Fourth Proportional to 6,141.71, 8,475.91 and 3,624.64

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Solution

The fourth proportional to 6,141.71, 8,475.91 and 3,624.64 is: 5,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.71 : 8,475.91 = 3,624.64 : x
  2. Step 2: Convert to fraction form
    6,141.71/8,475.91 = 3,624.64/x
  3. Step 3: Cross multiply
    6,141.71x = 8,475.91 × 3,624.64
  4. Step 4: Simplify right side
    6,141.71x = 30,722,092.17
  5. Step 5: Solve for x
    x = 30,722,092.17/6,141.71
  6. Step 6: Final answer
    x = 5,002.20

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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.