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Finding the Fourth Proportional to 3,878.99, 5,351.24 and 2,306.18

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Solution

The fourth proportional to 3,878.99, 5,351.24 and 2,306.18 is: 3,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.99 : 5,351.24 = 2,306.18 : x
  2. Step 2: Convert to fraction form
    3,878.99/5,351.24 = 2,306.18/x
  3. Step 3: Cross multiply
    3,878.99x = 5,351.24 × 2,306.18
  4. Step 4: Simplify right side
    3,878.99x = 12,340,884.38
  5. Step 5: Solve for x
    x = 12,340,884.38/3,878.99
  6. Step 6: Final answer
    x = 3,181.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.