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Finding the Fourth Proportional to 3,658.38, 5,487.62 and 1,577.08

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Solution

The fourth proportional to 3,658.38, 5,487.62 and 1,577.08 is: 2,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.38 : 5,487.62 = 1,577.08 : x
  2. Step 2: Convert to fraction form
    3,658.38/5,487.62 = 1,577.08/x
  3. Step 3: Cross multiply
    3,658.38x = 5,487.62 × 1,577.08
  4. Step 4: Simplify right side
    3,658.38x = 8,654,414.72
  5. Step 5: Solve for x
    x = 8,654,414.72/3,658.38
  6. Step 6: Final answer
    x = 2,365.64

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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.