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Finding the Fourth Proportional to 5,318.28, 7,980.50 and 2,197.71

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Solution

The fourth proportional to 5,318.28, 7,980.50 and 2,197.71 is: 3,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.28 : 7,980.50 = 2,197.71 : x
  2. Step 2: Convert to fraction form
    5,318.28/7,980.50 = 2,197.71/x
  3. Step 3: Cross multiply
    5,318.28x = 7,980.50 × 2,197.71
  4. Step 4: Simplify right side
    5,318.28x = 17,538,801.52
  5. Step 5: Solve for x
    x = 17,538,801.52/5,318.28
  6. Step 6: Final answer
    x = 3,297.83

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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.