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Finding the Fourth Proportional to 3,854.03, 5,781.01 and 932.33

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Solution

The fourth proportional to 3,854.03, 5,781.01 and 932.33 is: 1,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.03 : 5,781.01 = 932.33 : x
  2. Step 2: Convert to fraction form
    3,854.03/5,781.01 = 932.33/x
  3. Step 3: Cross multiply
    3,854.03x = 5,781.01 × 932.33
  4. Step 4: Simplify right side
    3,854.03x = 5,389,777.82
  5. Step 5: Solve for x
    x = 5,389,777.82/3,854.03
  6. Step 6: Final answer
    x = 1,398.48

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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.