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Finding the Fourth Proportional to 3,563.64, 5,344.25 and 1,807.97

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Solution

The fourth proportional to 3,563.64, 5,344.25 and 1,807.97 is: 2,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.64 : 5,344.25 = 1,807.97 : x
  2. Step 2: Convert to fraction form
    3,563.64/5,344.25 = 1,807.97/x
  3. Step 3: Cross multiply
    3,563.64x = 5,344.25 × 1,807.97
  4. Step 4: Simplify right side
    3,563.64x = 9,662,207.91
  5. Step 5: Solve for x
    x = 9,662,207.91/3,563.64
  6. Step 6: Final answer
    x = 2,711.33

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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.