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Finding the Fourth Proportional to 5,726.92, 8,592.04 and 1,831.64

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Solution

The fourth proportional to 5,726.92, 8,592.04 and 1,831.64 is: 2,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.92 : 8,592.04 = 1,831.64 : x
  2. Step 2: Convert to fraction form
    5,726.92/8,592.04 = 1,831.64/x
  3. Step 3: Cross multiply
    5,726.92x = 8,592.04 × 1,831.64
  4. Step 4: Simplify right side
    5,726.92x = 15,737,524.15
  5. Step 5: Solve for x
    x = 15,737,524.15/5,726.92
  6. Step 6: Final answer
    x = 2,747.99

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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.