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Finding the Fourth Proportional to 5,217.68, 7,200.24 and 2,859.86

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Solution

The fourth proportional to 5,217.68, 7,200.24 and 2,859.86 is: 3,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.68 : 7,200.24 = 2,859.86 : x
  2. Step 2: Convert to fraction form
    5,217.68/7,200.24 = 2,859.86/x
  3. Step 3: Cross multiply
    5,217.68x = 7,200.24 × 2,859.86
  4. Step 4: Simplify right side
    5,217.68x = 20,591,678.37
  5. Step 5: Solve for x
    x = 20,591,678.37/5,217.68
  6. Step 6: Final answer
    x = 3,946.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.