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Finding the Fourth Proportional to 3,432.58, 5,149.08 and 967.61

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Solution

The fourth proportional to 3,432.58, 5,149.08 and 967.61 is: 1,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.58 : 5,149.08 = 967.61 : x
  2. Step 2: Convert to fraction form
    3,432.58/5,149.08 = 967.61/x
  3. Step 3: Cross multiply
    3,432.58x = 5,149.08 × 967.61
  4. Step 4: Simplify right side
    3,432.58x = 4,982,301.30
  5. Step 5: Solve for x
    x = 4,982,301.30/3,432.58
  6. Step 6: Final answer
    x = 1,451.47

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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.