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Finding the Fourth Proportional to 5,139.56, 7,712.22 and 2,831.72

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Solution

The fourth proportional to 5,139.56, 7,712.22 and 2,831.72 is: 4,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.56 : 7,712.22 = 2,831.72 : x
  2. Step 2: Convert to fraction form
    5,139.56/7,712.22 = 2,831.72/x
  3. Step 3: Cross multiply
    5,139.56x = 7,712.22 × 2,831.72
  4. Step 4: Simplify right side
    5,139.56x = 21,838,847.62
  5. Step 5: Solve for x
    x = 21,838,847.62/5,139.56
  6. Step 6: Final answer
    x = 4,249.17

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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.