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Finding the Fourth Proportional to 3,062.97, 4,593.51 and 871.11

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Solution

The fourth proportional to 3,062.97, 4,593.51 and 871.11 is: 1,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.97 : 4,593.51 = 871.11 : x
  2. Step 2: Convert to fraction form
    3,062.97/4,593.51 = 871.11/x
  3. Step 3: Cross multiply
    3,062.97x = 4,593.51 × 871.11
  4. Step 4: Simplify right side
    3,062.97x = 4,001,452.50
  5. Step 5: Solve for x
    x = 4,001,452.50/3,062.97
  6. Step 6: Final answer
    x = 1,306.40

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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.