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Finding the Fourth Proportional to 3,234.38, 4,854 and 2,592.86

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Solution

The fourth proportional to 3,234.38, 4,854 and 2,592.86 is: 3,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.38 : 4,854 = 2,592.86 : x
  2. Step 2: Convert to fraction form
    3,234.38/4,854 = 2,592.86/x
  3. Step 3: Cross multiply
    3,234.38x = 4,854 × 2,592.86
  4. Step 4: Simplify right side
    3,234.38x = 12,585,718.17
  5. Step 5: Solve for x
    x = 12,585,718.17/3,234.38
  6. Step 6: Final answer
    x = 3,891.24

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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.