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Finding the Fourth Proportional to 3,889.92, 5,367.96 and 2,317.20

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Solution

The fourth proportional to 3,889.92, 5,367.96 and 2,317.20 is: 3,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.92 : 5,367.96 = 2,317.20 : x
  2. Step 2: Convert to fraction form
    3,889.92/5,367.96 = 2,317.20/x
  3. Step 3: Cross multiply
    3,889.92x = 5,367.96 × 2,317.20
  4. Step 4: Simplify right side
    3,889.92x = 12,438,636.91
  5. Step 5: Solve for x
    x = 12,438,636.91/3,889.92
  6. Step 6: Final answer
    x = 3,197.66

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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.