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Finding the Fourth Proportional to 3,876.57, 5,815.25 and 1,243.42

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Solution

The fourth proportional to 3,876.57, 5,815.25 and 1,243.42 is: 1,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.57 : 5,815.25 = 1,243.42 : x
  2. Step 2: Convert to fraction form
    3,876.57/5,815.25 = 1,243.42/x
  3. Step 3: Cross multiply
    3,876.57x = 5,815.25 × 1,243.42
  4. Step 4: Simplify right side
    3,876.57x = 7,230,798.16
  5. Step 5: Solve for x
    x = 7,230,798.16/3,876.57
  6. Step 6: Final answer
    x = 1,865.26

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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.