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Finding the Fourth Proportional to 5,461.71, 8,200.07 and 2,831.37

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Solution

The fourth proportional to 5,461.71, 8,200.07 and 2,831.37 is: 4,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.71 : 8,200.07 = 2,831.37 : x
  2. Step 2: Convert to fraction form
    5,461.71/8,200.07 = 2,831.37/x
  3. Step 3: Cross multiply
    5,461.71x = 8,200.07 × 2,831.37
  4. Step 4: Simplify right side
    5,461.71x = 23,217,418.04
  5. Step 5: Solve for x
    x = 23,217,418.04/5,461.71
  6. Step 6: Final answer
    x = 4,250.94

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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.