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Finding the Fourth Proportional to 4,168.32, 6,251.84 and 1,432.32

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Solution

The fourth proportional to 4,168.32, 6,251.84 and 1,432.32 is: 2,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.32 : 6,251.84 = 1,432.32 : x
  2. Step 2: Convert to fraction form
    4,168.32/6,251.84 = 1,432.32/x
  3. Step 3: Cross multiply
    4,168.32x = 6,251.84 × 1,432.32
  4. Step 4: Simplify right side
    4,168.32x = 8,954,635.47
  5. Step 5: Solve for x
    x = 8,954,635.47/4,168.32
  6. Step 6: Final answer
    x = 2,148.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.