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Finding the Fourth Proportional to 3,895.62, 5,843.28 and 2,654.16

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Solution

The fourth proportional to 3,895.62, 5,843.28 and 2,654.16 is: 3,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.62 : 5,843.28 = 2,654.16 : x
  2. Step 2: Convert to fraction form
    3,895.62/5,843.28 = 2,654.16/x
  3. Step 3: Cross multiply
    3,895.62x = 5,843.28 × 2,654.16
  4. Step 4: Simplify right side
    3,895.62x = 15,509,000.04
  5. Step 5: Solve for x
    x = 15,509,000.04/3,895.62
  6. Step 6: Final answer
    x = 3,981.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.