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Finding the Fourth Proportional to 3,862.38, 5,793.30 and 2,213.76

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Solution

The fourth proportional to 3,862.38, 5,793.30 and 2,213.76 is: 3,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.38 : 5,793.30 = 2,213.76 : x
  2. Step 2: Convert to fraction form
    3,862.38/5,793.30 = 2,213.76/x
  3. Step 3: Cross multiply
    3,862.38x = 5,793.30 × 2,213.76
  4. Step 4: Simplify right side
    3,862.38x = 12,824,975.81
  5. Step 5: Solve for x
    x = 12,824,975.81/3,862.38
  6. Step 6: Final answer
    x = 3,320.49

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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.