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Finding the Fourth Proportional to 5,217.74, 7,200.42 and 2,859.82

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Solution

The fourth proportional to 5,217.74, 7,200.42 and 2,859.82 is: 3,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.74 : 7,200.42 = 2,859.82 : x
  2. Step 2: Convert to fraction form
    5,217.74/7,200.42 = 2,859.82/x
  3. Step 3: Cross multiply
    5,217.74x = 7,200.42 × 2,859.82
  4. Step 4: Simplify right side
    5,217.74x = 20,591,905.12
  5. Step 5: Solve for x
    x = 20,591,905.12/5,217.74
  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.