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Finding the Fourth Proportional to 5,220.50, 7,831.19 and 1,324.91

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Solution

The fourth proportional to 5,220.50, 7,831.19 and 1,324.91 is: 1,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.50 : 7,831.19 = 1,324.91 : x
  2. Step 2: Convert to fraction form
    5,220.50/7,831.19 = 1,324.91/x
  3. Step 3: Cross multiply
    5,220.50x = 7,831.19 × 1,324.91
  4. Step 4: Simplify right side
    5,220.50x = 10,375,586.10
  5. Step 5: Solve for x
    x = 10,375,586.10/5,220.50
  6. Step 6: Final answer
    x = 1,987.47

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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.