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Finding the Fourth Proportional to 3,930.77, 5,424.42 and 2,252.48

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Solution

The fourth proportional to 3,930.77, 5,424.42 and 2,252.48 is: 3,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.77 : 5,424.42 = 2,252.48 : x
  2. Step 2: Convert to fraction form
    3,930.77/5,424.42 = 2,252.48/x
  3. Step 3: Cross multiply
    3,930.77x = 5,424.42 × 2,252.48
  4. Step 4: Simplify right side
    3,930.77x = 12,218,370.44
  5. Step 5: Solve for x
    x = 12,218,370.44/3,930.77
  6. Step 6: Final answer
    x = 3,108.40

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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.