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Finding the Fourth Proportional to 3,456.86, 4,772.56 and 2,337.98

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Solution

The fourth proportional to 3,456.86, 4,772.56 and 2,337.98 is: 3,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.86 : 4,772.56 = 2,337.98 : x
  2. Step 2: Convert to fraction form
    3,456.86/4,772.56 = 2,337.98/x
  3. Step 3: Cross multiply
    3,456.86x = 4,772.56 × 2,337.98
  4. Step 4: Simplify right side
    3,456.86x = 11,158,120.12
  5. Step 5: Solve for x
    x = 11,158,120.12/3,456.86
  6. Step 6: Final answer
    x = 3,227.82

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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.