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Finding the Fourth Proportional to 4,381.74, 6,562.89 and 2,432.70

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Solution

The fourth proportional to 4,381.74, 6,562.89 and 2,432.70 is: 3,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.74 : 6,562.89 = 2,432.70 : x
  2. Step 2: Convert to fraction form
    4,381.74/6,562.89 = 2,432.70/x
  3. Step 3: Cross multiply
    4,381.74x = 6,562.89 × 2,432.70
  4. Step 4: Simplify right side
    4,381.74x = 15,965,542.50
  5. Step 5: Solve for x
    x = 15,965,542.50/4,381.74
  6. Step 6: Final answer
    x = 3,643.65

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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.