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Finding the Fourth Proportional to 3,874.30, 5,345.05 and 2,381.74

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Solution

The fourth proportional to 3,874.30, 5,345.05 and 2,381.74 is: 3,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.30 : 5,345.05 = 2,381.74 : x
  2. Step 2: Convert to fraction form
    3,874.30/5,345.05 = 2,381.74/x
  3. Step 3: Cross multiply
    3,874.30x = 5,345.05 × 2,381.74
  4. Step 4: Simplify right side
    3,874.30x = 12,730,480.75
  5. Step 5: Solve for x
    x = 12,730,480.75/3,874.30
  6. Step 6: Final answer
    x = 3,285.88

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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.