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Finding the Fourth Proportional to 3,658.43, 5,048.65 and 1,979.86

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Solution

The fourth proportional to 3,658.43, 5,048.65 and 1,979.86 is: 2,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.43 : 5,048.65 = 1,979.86 : x
  2. Step 2: Convert to fraction form
    3,658.43/5,048.65 = 1,979.86/x
  3. Step 3: Cross multiply
    3,658.43x = 5,048.65 × 1,979.86
  4. Step 4: Simplify right side
    3,658.43x = 9,995,608.37
  5. Step 5: Solve for x
    x = 9,995,608.37/3,658.43
  6. Step 6: Final answer
    x = 2,732.21

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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.