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Finding the Fourth Proportional to 5,221.20, 7,831.80 and 3,147.60

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Solution

The fourth proportional to 5,221.20, 7,831.80 and 3,147.60 is: 4,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.20 : 7,831.80 = 3,147.60 : x
  2. Step 2: Convert to fraction form
    5,221.20/7,831.80 = 3,147.60/x
  3. Step 3: Cross multiply
    5,221.20x = 7,831.80 × 3,147.60
  4. Step 4: Simplify right side
    5,221.20x = 24,651,373.68
  5. Step 5: Solve for x
    x = 24,651,373.68/5,221.20
  6. Step 6: Final answer
    x = 4,721.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.