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Finding the Fourth Proportional to 3,863.40, 5,331.49 and 2,095

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Solution

The fourth proportional to 3,863.40, 5,331.49 and 2,095 is: 2,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.40 : 5,331.49 = 2,095 : x
  2. Step 2: Convert to fraction form
    3,863.40/5,331.49 = 2,095/x
  3. Step 3: Cross multiply
    3,863.40x = 5,331.49 × 2,095
  4. Step 4: Simplify right side
    3,863.40x = 11,169,471.55
  5. Step 5: Solve for x
    x = 11,169,471.55/3,863.40
  6. Step 6: Final answer
    x = 2,891.10

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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.