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Finding the Fourth Proportional to 4,143.37, 6,217.49 and 2,972.11

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Solution

The fourth proportional to 4,143.37, 6,217.49 and 2,972.11 is: 4,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.37 : 6,217.49 = 2,972.11 : x
  2. Step 2: Convert to fraction form
    4,143.37/6,217.49 = 2,972.11/x
  3. Step 3: Cross multiply
    4,143.37x = 6,217.49 × 2,972.11
  4. Step 4: Simplify right side
    4,143.37x = 18,479,064.20
  5. Step 5: Solve for x
    x = 18,479,064.20/4,143.37
  6. Step 6: Final answer
    x = 4,459.91

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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.