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Finding the Fourth Proportional to 3,865, 5,331.34 and 2,292.04

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Solution

The fourth proportional to 3,865, 5,331.34 and 2,292.04 is: 3,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865 : 5,331.34 = 2,292.04 : x
  2. Step 2: Convert to fraction form
    3,865/5,331.34 = 2,292.04/x
  3. Step 3: Cross multiply
    3,865x = 5,331.34 × 2,292.04
  4. Step 4: Simplify right side
    3,865x = 12,219,644.53
  5. Step 5: Solve for x
    x = 12,219,644.53/3,865
  6. Step 6: Final answer
    x = 3,161.62

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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.