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Finding the Fourth Proportional to 3,863.84, 5,331.12 and 2,270.24

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Solution

The fourth proportional to 3,863.84, 5,331.12 and 2,270.24 is: 3,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.84 : 5,331.12 = 2,270.24 : x
  2. Step 2: Convert to fraction form
    3,863.84/5,331.12 = 2,270.24/x
  3. Step 3: Cross multiply
    3,863.84x = 5,331.12 × 2,270.24
  4. Step 4: Simplify right side
    3,863.84x = 12,102,921.87
  5. Step 5: Solve for x
    x = 12,102,921.87/3,863.84
  6. Step 6: Final answer
    x = 3,132.36

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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.