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Finding the Fourth Proportional to 3,874.42, 5,347.91 and 2,280.94

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Solution

The fourth proportional to 3,874.42, 5,347.91 and 2,280.94 is: 3,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.42 : 5,347.91 = 2,280.94 : x
  2. Step 2: Convert to fraction form
    3,874.42/5,347.91 = 2,280.94/x
  3. Step 3: Cross multiply
    3,874.42x = 5,347.91 × 2,280.94
  4. Step 4: Simplify right side
    3,874.42x = 12,198,248.86
  5. Step 5: Solve for x
    x = 12,198,248.86/3,874.42
  6. Step 6: Final answer
    x = 3,148.41

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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.