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Finding the Fourth Proportional to 4,147.97, 6,216.28 and 2,196.27

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Solution

The fourth proportional to 4,147.97, 6,216.28 and 2,196.27 is: 3,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.97 : 6,216.28 = 2,196.27 : x
  2. Step 2: Convert to fraction form
    4,147.97/6,216.28 = 2,196.27/x
  3. Step 3: Cross multiply
    4,147.97x = 6,216.28 × 2,196.27
  4. Step 4: Simplify right side
    4,147.97x = 13,652,623.78
  5. Step 5: Solve for x
    x = 13,652,623.78/4,147.97
  6. Step 6: Final answer
    x = 3,291.40

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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.