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Finding the Fourth Proportional to 4,451.32, 6,710.78 and 4,213.18

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Solution

The fourth proportional to 4,451.32, 6,710.78 and 4,213.18 is: 6,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.32 : 6,710.78 = 4,213.18 : x
  2. Step 2: Convert to fraction form
    4,451.32/6,710.78 = 4,213.18/x
  3. Step 3: Cross multiply
    4,451.32x = 6,710.78 × 4,213.18
  4. Step 4: Simplify right side
    4,451.32x = 28,273,724.08
  5. Step 5: Solve for x
    x = 28,273,724.08/4,451.32
  6. Step 6: Final answer
    x = 6,351.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.