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Finding the Fourth Proportional to 3,728.96, 5,144.92 and 2,403.43

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Solution

The fourth proportional to 3,728.96, 5,144.92 and 2,403.43 is: 3,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.96 : 5,144.92 = 2,403.43 : x
  2. Step 2: Convert to fraction form
    3,728.96/5,144.92 = 2,403.43/x
  3. Step 3: Cross multiply
    3,728.96x = 5,144.92 × 2,403.43
  4. Step 4: Simplify right side
    3,728.96x = 12,365,472.38
  5. Step 5: Solve for x
    x = 12,365,472.38/3,728.96
  6. Step 6: Final answer
    x = 3,316.06

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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.