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Finding the Fourth Proportional to 3,854.63, 5,781.96 and 932.93

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Solution

The fourth proportional to 3,854.63, 5,781.96 and 932.93 is: 1,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.63 : 5,781.96 = 932.93 : x
  2. Step 2: Convert to fraction form
    3,854.63/5,781.96 = 932.93/x
  3. Step 3: Cross multiply
    3,854.63x = 5,781.96 × 932.93
  4. Step 4: Simplify right side
    3,854.63x = 5,394,163.94
  5. Step 5: Solve for x
    x = 5,394,163.94/3,854.63
  6. Step 6: Final answer
    x = 1,399.40

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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.