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Finding the Fourth Proportional to 4,144.53, 6,217.65 and 2,196.21

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Solution

The fourth proportional to 4,144.53, 6,217.65 and 2,196.21 is: 3,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.53 : 6,217.65 = 2,196.21 : x
  2. Step 2: Convert to fraction form
    4,144.53/6,217.65 = 2,196.21/x
  3. Step 3: Cross multiply
    4,144.53x = 6,217.65 × 2,196.21
  4. Step 4: Simplify right side
    4,144.53x = 13,655,265.11
  5. Step 5: Solve for x
    x = 13,655,265.11/4,144.53
  6. Step 6: Final answer
    x = 3,294.77

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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.