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Finding the Fourth Proportional to 3,863.70, 5,331.15 and 2,292.30

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Solution

The fourth proportional to 3,863.70, 5,331.15 and 2,292.30 is: 3,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.70 : 5,331.15 = 2,292.30 : x
  2. Step 2: Convert to fraction form
    3,863.70/5,331.15 = 2,292.30/x
  3. Step 3: Cross multiply
    3,863.70x = 5,331.15 × 2,292.30
  4. Step 4: Simplify right side
    3,863.70x = 12,220,595.15
  5. Step 5: Solve for x
    x = 12,220,595.15/3,863.70
  6. Step 6: Final answer
    x = 3,162.93

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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.