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Finding the Fourth Proportional to 3,943.86, 5,442.99 and 2,265.54

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Solution

The fourth proportional to 3,943.86, 5,442.99 and 2,265.54 is: 3,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.86 : 5,442.99 = 2,265.54 : x
  2. Step 2: Convert to fraction form
    3,943.86/5,442.99 = 2,265.54/x
  3. Step 3: Cross multiply
    3,943.86x = 5,442.99 × 2,265.54
  4. Step 4: Simplify right side
    3,943.86x = 12,331,311.56
  5. Step 5: Solve for x
    x = 12,331,311.56/3,943.86
  6. Step 6: Final answer
    x = 3,126.71

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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.