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Finding the Fourth Proportional to 3,631.94, 5,013.61 and 2,454.61

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Solution

The fourth proportional to 3,631.94, 5,013.61 and 2,454.61 is: 3,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.94 : 5,013.61 = 2,454.61 : x
  2. Step 2: Convert to fraction form
    3,631.94/5,013.61 = 2,454.61/x
  3. Step 3: Cross multiply
    3,631.94x = 5,013.61 × 2,454.61
  4. Step 4: Simplify right side
    3,631.94x = 12,306,426.04
  5. Step 5: Solve for x
    x = 12,306,426.04/3,631.94
  6. Step 6: Final answer
    x = 3,388.39

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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.