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Finding the Fourth Proportional to 3,943.59, 5,442.16 and 2,265.33

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Solution

The fourth proportional to 3,943.59, 5,442.16 and 2,265.33 is: 3,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.59 : 5,442.16 = 2,265.33 : x
  2. Step 2: Convert to fraction form
    3,943.59/5,442.16 = 2,265.33/x
  3. Step 3: Cross multiply
    3,943.59x = 5,442.16 × 2,265.33
  4. Step 4: Simplify right side
    3,943.59x = 12,328,268.18
  5. Step 5: Solve for x
    x = 12,328,268.18/3,943.59
  6. Step 6: Final answer
    x = 3,126.15

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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.