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Finding the Fourth Proportional to 3,943.36, 5,442 and 2,264.74

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Solution

The fourth proportional to 3,943.36, 5,442 and 2,264.74 is: 3,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.36 : 5,442 = 2,264.74 : x
  2. Step 2: Convert to fraction form
    3,943.36/5,442 = 2,264.74/x
  3. Step 3: Cross multiply
    3,943.36x = 5,442 × 2,264.74
  4. Step 4: Simplify right side
    3,943.36x = 12,324,715.08
  5. Step 5: Solve for x
    x = 12,324,715.08/3,943.36
  6. Step 6: Final answer
    x = 3,125.43

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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.