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Finding the Fourth Proportional to 5,352.56, 7,997.85 and 3,864.71

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Solution

The fourth proportional to 5,352.56, 7,997.85 and 3,864.71 is: 5,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.56 : 7,997.85 = 3,864.71 : x
  2. Step 2: Convert to fraction form
    5,352.56/7,997.85 = 3,864.71/x
  3. Step 3: Cross multiply
    5,352.56x = 7,997.85 × 3,864.71
  4. Step 4: Simplify right side
    5,352.56x = 30,909,390.87
  5. Step 5: Solve for x
    x = 30,909,390.87/5,352.56
  6. Step 6: Final answer
    x = 5,774.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.