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Finding the Fourth Proportional to 4,744.53, 7,116.64 and 2,147.47

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Solution

The fourth proportional to 4,744.53, 7,116.64 and 2,147.47 is: 3,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.53 : 7,116.64 = 2,147.47 : x
  2. Step 2: Convert to fraction form
    4,744.53/7,116.64 = 2,147.47/x
  3. Step 3: Cross multiply
    4,744.53x = 7,116.64 × 2,147.47
  4. Step 4: Simplify right side
    4,744.53x = 15,282,747.74
  5. Step 5: Solve for x
    x = 15,282,747.74/4,744.53
  6. Step 6: Final answer
    x = 3,221.13

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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.