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Finding the Fourth Proportional to 4,318.68, 6,478.02 and 1,397.43

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Solution

The fourth proportional to 4,318.68, 6,478.02 and 1,397.43 is: 2,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.68 : 6,478.02 = 1,397.43 : x
  2. Step 2: Convert to fraction form
    4,318.68/6,478.02 = 1,397.43/x
  3. Step 3: Cross multiply
    4,318.68x = 6,478.02 × 1,397.43
  4. Step 4: Simplify right side
    4,318.68x = 9,052,579.49
  5. Step 5: Solve for x
    x = 9,052,579.49/4,318.68
  6. Step 6: Final answer
    x = 2,096.15

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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.