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Finding the Fourth Proportional to 3,854.33, 5,781.53 and 932.66

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Solution

The fourth proportional to 3,854.33, 5,781.53 and 932.66 is: 1,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.33 : 5,781.53 = 932.66 : x
  2. Step 2: Convert to fraction form
    3,854.33/5,781.53 = 932.66/x
  3. Step 3: Cross multiply
    3,854.33x = 5,781.53 × 932.66
  4. Step 4: Simplify right side
    3,854.33x = 5,392,201.77
  5. Step 5: Solve for x
    x = 5,392,201.77/3,854.33
  6. Step 6: Final answer
    x = 1,399.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.