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Finding the Fourth Proportional to 5,886.18, 8,122.92 and 3,197.41

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Solution

The fourth proportional to 5,886.18, 8,122.92 and 3,197.41 is: 4,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.18 : 8,122.92 = 3,197.41 : x
  2. Step 2: Convert to fraction form
    5,886.18/8,122.92 = 3,197.41/x
  3. Step 3: Cross multiply
    5,886.18x = 8,122.92 × 3,197.41
  4. Step 4: Simplify right side
    5,886.18x = 25,972,269.69
  5. Step 5: Solve for x
    x = 25,972,269.69/5,886.18
  6. Step 6: Final answer
    x = 4,412.41

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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.