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Finding the Fourth Proportional to 3,546.59, 4,891.13 and 2,287.69

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Solution

The fourth proportional to 3,546.59, 4,891.13 and 2,287.69 is: 3,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.59 : 4,891.13 = 2,287.69 : x
  2. Step 2: Convert to fraction form
    3,546.59/4,891.13 = 2,287.69/x
  3. Step 3: Cross multiply
    3,546.59x = 4,891.13 × 2,287.69
  4. Step 4: Simplify right side
    3,546.59x = 11,189,414.48
  5. Step 5: Solve for x
    x = 11,189,414.48/3,546.59
  6. Step 6: Final answer
    x = 3,154.98

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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.