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Finding the Fourth Proportional to 4,167.81, 6,238.89 and 3,577.32

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Solution

The fourth proportional to 4,167.81, 6,238.89 and 3,577.32 is: 5,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.81 : 6,238.89 = 3,577.32 : x
  2. Step 2: Convert to fraction form
    4,167.81/6,238.89 = 3,577.32/x
  3. Step 3: Cross multiply
    4,167.81x = 6,238.89 × 3,577.32
  4. Step 4: Simplify right side
    4,167.81x = 22,318,505.97
  5. Step 5: Solve for x
    x = 22,318,505.97/4,167.81
  6. Step 6: Final answer
    x = 5,354.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.