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Finding the Fourth Proportional to 5,761.52, 8,626.89 and 3,292.94

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Solution

The fourth proportional to 5,761.52, 8,626.89 and 3,292.94 is: 4,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.52 : 8,626.89 = 3,292.94 : x
  2. Step 2: Convert to fraction form
    5,761.52/8,626.89 = 3,292.94/x
  3. Step 3: Cross multiply
    5,761.52x = 8,626.89 × 3,292.94
  4. Step 4: Simplify right side
    5,761.52x = 28,407,831.16
  5. Step 5: Solve for x
    x = 28,407,831.16/5,761.52
  6. Step 6: Final answer
    x = 4,930.61

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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.