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Finding the Fourth Proportional to 6,920.52, 10,380.90 and 1,726.41

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Solution

The fourth proportional to 6,920.52, 10,380.90 and 1,726.41 is: 2,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.52 : 10,380.90 = 1,726.41 : x
  2. Step 2: Convert to fraction form
    6,920.52/10,380.90 = 1,726.41/x
  3. Step 3: Cross multiply
    6,920.52x = 10,380.90 × 1,726.41
  4. Step 4: Simplify right side
    6,920.52x = 17,921,689.57
  5. Step 5: Solve for x
    x = 17,921,689.57/6,920.52
  6. Step 6: Final answer
    x = 2,589.64

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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.