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Finding the Fourth Proportional to 3,641.72, 5,023.80 and 2,382.26

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Solution

The fourth proportional to 3,641.72, 5,023.80 and 2,382.26 is: 3,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.72 : 5,023.80 = 2,382.26 : x
  2. Step 2: Convert to fraction form
    3,641.72/5,023.80 = 2,382.26/x
  3. Step 3: Cross multiply
    3,641.72x = 5,023.80 × 2,382.26
  4. Step 4: Simplify right side
    3,641.72x = 11,967,997.79
  5. Step 5: Solve for x
    x = 11,967,997.79/3,641.72
  6. Step 6: Final answer
    x = 3,286.36

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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.