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Finding the Fourth Proportional to 3,941.38, 5,909.43 and 1,567.89

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Solution

The fourth proportional to 3,941.38, 5,909.43 and 1,567.89 is: 2,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.38 : 5,909.43 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    3,941.38/5,909.43 = 1,567.89/x
  3. Step 3: Cross multiply
    3,941.38x = 5,909.43 × 1,567.89
  4. Step 4: Simplify right side
    3,941.38x = 9,265,338.94
  5. Step 5: Solve for x
    x = 9,265,338.94/3,941.38
  6. Step 6: Final answer
    x = 2,350.78

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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.