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Finding the Fourth Proportional to 5,726.48, 8,589.80 and 1,622.48

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Solution

The fourth proportional to 5,726.48, 8,589.80 and 1,622.48 is: 2,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.48 : 8,589.80 = 1,622.48 : x
  2. Step 2: Convert to fraction form
    5,726.48/8,589.80 = 1,622.48/x
  3. Step 3: Cross multiply
    5,726.48x = 8,589.80 × 1,622.48
  4. Step 4: Simplify right side
    5,726.48x = 13,936,778.70
  5. Step 5: Solve for x
    x = 13,936,778.70/5,726.48
  6. Step 6: Final answer
    x = 2,433.74

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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.