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Finding the Fourth Proportional to 4,565.38, 6,847.89 and 3,174.62

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Solution

The fourth proportional to 4,565.38, 6,847.89 and 3,174.62 is: 4,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.38 : 6,847.89 = 3,174.62 : x
  2. Step 2: Convert to fraction form
    4,565.38/6,847.89 = 3,174.62/x
  3. Step 3: Cross multiply
    4,565.38x = 6,847.89 × 3,174.62
  4. Step 4: Simplify right side
    4,565.38x = 21,739,448.55
  5. Step 5: Solve for x
    x = 21,739,448.55/4,565.38
  6. Step 6: Final answer
    x = 4,761.80

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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.