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Finding the Fourth Proportional to 5,249.50, 7,876.19 and 2,439.64

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Solution

The fourth proportional to 5,249.50, 7,876.19 and 2,439.64 is: 3,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.50 : 7,876.19 = 2,439.64 : x
  2. Step 2: Convert to fraction form
    5,249.50/7,876.19 = 2,439.64/x
  3. Step 3: Cross multiply
    5,249.50x = 7,876.19 × 2,439.64
  4. Step 4: Simplify right side
    5,249.50x = 19,215,068.17
  5. Step 5: Solve for x
    x = 19,215,068.17/5,249.50
  6. Step 6: Final answer
    x = 3,660.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.