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Finding the Fourth Proportional to 4,744.70, 7,118.49 and 2,147.66

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Solution

The fourth proportional to 4,744.70, 7,118.49 and 2,147.66 is: 3,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.70 : 7,118.49 = 2,147.66 : x
  2. Step 2: Convert to fraction form
    4,744.70/7,118.49 = 2,147.66/x
  3. Step 3: Cross multiply
    4,744.70x = 7,118.49 × 2,147.66
  4. Step 4: Simplify right side
    4,744.70x = 15,288,096.23
  5. Step 5: Solve for x
    x = 15,288,096.23/4,744.70
  6. Step 6: Final answer
    x = 3,222.14

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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.