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Finding the Fourth Proportional to 3,864.61, 5,796.87 and 2,016.60

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Solution

The fourth proportional to 3,864.61, 5,796.87 and 2,016.60 is: 3,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.61 : 5,796.87 = 2,016.60 : x
  2. Step 2: Convert to fraction form
    3,864.61/5,796.87 = 2,016.60/x
  3. Step 3: Cross multiply
    3,864.61x = 5,796.87 × 2,016.60
  4. Step 4: Simplify right side
    3,864.61x = 11,689,968.04
  5. Step 5: Solve for x
    x = 11,689,968.04/3,864.61
  6. Step 6: Final answer
    x = 3,024.88

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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.