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Finding the Fourth Proportional to 3,902.92, 5,849.22 and 2,337.88

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Solution

The fourth proportional to 3,902.92, 5,849.22 and 2,337.88 is: 3,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.92 : 5,849.22 = 2,337.88 : x
  2. Step 2: Convert to fraction form
    3,902.92/5,849.22 = 2,337.88/x
  3. Step 3: Cross multiply
    3,902.92x = 5,849.22 × 2,337.88
  4. Step 4: Simplify right side
    3,902.92x = 13,674,774.45
  5. Step 5: Solve for x
    x = 13,674,774.45/3,902.92
  6. Step 6: Final answer
    x = 3,503.73

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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.