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Finding the Fourth Proportional to 3,722.40, 5,132.34 and 2,394

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Solution

The fourth proportional to 3,722.40, 5,132.34 and 2,394 is: 3,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.40 : 5,132.34 = 2,394 : x
  2. Step 2: Convert to fraction form
    3,722.40/5,132.34 = 2,394/x
  3. Step 3: Cross multiply
    3,722.40x = 5,132.34 × 2,394
  4. Step 4: Simplify right side
    3,722.40x = 12,286,821.96
  5. Step 5: Solve for x
    x = 12,286,821.96/3,722.40
  6. Step 6: Final answer
    x = 3,300.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.