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Finding the Fourth Proportional to 3,259.38, 4,891.12 and 1,616.02

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Solution

The fourth proportional to 3,259.38, 4,891.12 and 1,616.02 is: 2,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.38 : 4,891.12 = 1,616.02 : x
  2. Step 2: Convert to fraction form
    3,259.38/4,891.12 = 1,616.02/x
  3. Step 3: Cross multiply
    3,259.38x = 4,891.12 × 1,616.02
  4. Step 4: Simplify right side
    3,259.38x = 7,904,147.74
  5. Step 5: Solve for x
    x = 7,904,147.74/3,259.38
  6. Step 6: Final answer
    x = 2,425.05

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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.