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Finding the Fourth Proportional to 3,879.60, 5,351.16 and 2,306.40

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Solution

The fourth proportional to 3,879.60, 5,351.16 and 2,306.40 is: 3,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.60 : 5,351.16 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    3,879.60/5,351.16 = 2,306.40/x
  3. Step 3: Cross multiply
    3,879.60x = 5,351.16 × 2,306.40
  4. Step 4: Simplify right side
    3,879.60x = 12,341,915.42
  5. Step 5: Solve for x
    x = 12,341,915.42/3,879.60
  6. Step 6: Final answer
    x = 3,181.23

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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.