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Finding the Fourth Proportional to 3,726.91, 5,143.08 and 2,048.38

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Solution

The fourth proportional to 3,726.91, 5,143.08 and 2,048.38 is: 2,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.91 : 5,143.08 = 2,048.38 : x
  2. Step 2: Convert to fraction form
    3,726.91/5,143.08 = 2,048.38/x
  3. Step 3: Cross multiply
    3,726.91x = 5,143.08 × 2,048.38
  4. Step 4: Simplify right side
    3,726.91x = 10,534,982.21
  5. Step 5: Solve for x
    x = 10,534,982.21/3,726.91
  6. Step 6: Final answer
    x = 2,826.73

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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.