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Finding the Fourth Proportional to 5,318.40, 7,983.36 and 3,930.24

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Solution

The fourth proportional to 5,318.40, 7,983.36 and 3,930.24 is: 5,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.40 : 7,983.36 = 3,930.24 : x
  2. Step 2: Convert to fraction form
    5,318.40/7,983.36 = 3,930.24/x
  3. Step 3: Cross multiply
    5,318.40x = 7,983.36 × 3,930.24
  4. Step 4: Simplify right side
    5,318.40x = 31,376,520.81
  5. Step 5: Solve for x
    x = 31,376,520.81/5,318.40
  6. Step 6: Final answer
    x = 5,899.62

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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.