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Finding the Fourth Proportional to 3,432.93, 5,148.92 and 967.94

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Solution

The fourth proportional to 3,432.93, 5,148.92 and 967.94 is: 1,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.93 : 5,148.92 = 967.94 : x
  2. Step 2: Convert to fraction form
    3,432.93/5,148.92 = 967.94/x
  3. Step 3: Cross multiply
    3,432.93x = 5,148.92 × 967.94
  4. Step 4: Simplify right side
    3,432.93x = 4,983,841.61
  5. Step 5: Solve for x
    x = 4,983,841.61/3,432.93
  6. Step 6: Final answer
    x = 1,451.78

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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.