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Finding the Fourth Proportional to 4,600.62, 6,346.26 and 2,831.87

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Solution

The fourth proportional to 4,600.62, 6,346.26 and 2,831.87 is: 3,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.62 : 6,346.26 = 2,831.87 : x
  2. Step 2: Convert to fraction form
    4,600.62/6,346.26 = 2,831.87/x
  3. Step 3: Cross multiply
    4,600.62x = 6,346.26 × 2,831.87
  4. Step 4: Simplify right side
    4,600.62x = 17,971,751.57
  5. Step 5: Solve for x
    x = 17,971,751.57/4,600.62
  6. Step 6: Final answer
    x = 3,906.38

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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.