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Finding the Fourth Proportional to 3,793.12, 5,232 and 2,614.72

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Solution

The fourth proportional to 3,793.12, 5,232 and 2,614.72 is: 3,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.12 : 5,232 = 2,614.72 : x
  2. Step 2: Convert to fraction form
    3,793.12/5,232 = 2,614.72/x
  3. Step 3: Cross multiply
    3,793.12x = 5,232 × 2,614.72
  4. Step 4: Simplify right side
    3,793.12x = 13,680,215.04
  5. Step 5: Solve for x
    x = 13,680,215.04/3,793.12
  6. Step 6: Final answer
    x = 3,606.59

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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.