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Finding the Fourth Proportional to 5,199.92, 7,171.14 and 4,065.76

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Solution

The fourth proportional to 5,199.92, 7,171.14 and 4,065.76 is: 5,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.92 : 7,171.14 = 4,065.76 : x
  2. Step 2: Convert to fraction form
    5,199.92/7,171.14 = 4,065.76/x
  3. Step 3: Cross multiply
    5,199.92x = 7,171.14 × 4,065.76
  4. Step 4: Simplify right side
    5,199.92x = 29,156,134.17
  5. Step 5: Solve for x
    x = 29,156,134.17/5,199.92
  6. Step 6: Final answer
    x = 5,607.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.