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Finding the Fourth Proportional to 3,862.29, 5,793.43 and 3,340.74

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Solution

The fourth proportional to 3,862.29, 5,793.43 and 3,340.74 is: 5,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.29 : 5,793.43 = 3,340.74 : x
  2. Step 2: Convert to fraction form
    3,862.29/5,793.43 = 3,340.74/x
  3. Step 3: Cross multiply
    3,862.29x = 5,793.43 × 3,340.74
  4. Step 4: Simplify right side
    3,862.29x = 19,354,338.53
  5. Step 5: Solve for x
    x = 19,354,338.53/3,862.29
  6. Step 6: Final answer
    x = 5,011.11

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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.