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Finding the Fourth Proportional to 4,251.81, 6,380.63 and 1,478.48

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Solution

The fourth proportional to 4,251.81, 6,380.63 and 1,478.48 is: 2,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.81 : 6,380.63 = 1,478.48 : x
  2. Step 2: Convert to fraction form
    4,251.81/6,380.63 = 1,478.48/x
  3. Step 3: Cross multiply
    4,251.81x = 6,380.63 × 1,478.48
  4. Step 4: Simplify right side
    4,251.81x = 9,433,645.17
  5. Step 5: Solve for x
    x = 9,433,645.17/4,251.81
  6. Step 6: Final answer
    x = 2,218.73

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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.