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Finding the Fourth Proportional to 3,456.38, 4,768.16 and 2,337.71

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Solution

The fourth proportional to 3,456.38, 4,768.16 and 2,337.71 is: 3,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.38 : 4,768.16 = 2,337.71 : x
  2. Step 2: Convert to fraction form
    3,456.38/4,768.16 = 2,337.71/x
  3. Step 3: Cross multiply
    3,456.38x = 4,768.16 × 2,337.71
  4. Step 4: Simplify right side
    3,456.38x = 11,146,539.78
  5. Step 5: Solve for x
    x = 11,146,539.78/3,456.38
  6. Step 6: Final answer
    x = 3,224.92

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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.