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Finding the Fourth Proportional to 3,977.92, 5,487.24 and 3,232.72

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Solution

The fourth proportional to 3,977.92, 5,487.24 and 3,232.72 is: 4,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.92 : 5,487.24 = 3,232.72 : x
  2. Step 2: Convert to fraction form
    3,977.92/5,487.24 = 3,232.72/x
  3. Step 3: Cross multiply
    3,977.92x = 5,487.24 × 3,232.72
  4. Step 4: Simplify right side
    3,977.92x = 17,738,710.49
  5. Step 5: Solve for x
    x = 17,738,710.49/3,977.92
  6. Step 6: Final answer
    x = 4,459.29

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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.