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Finding the Fourth Proportional to 4,993.20, 7,489.20 and 2,071.20

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Solution

The fourth proportional to 4,993.20, 7,489.20 and 2,071.20 is: 3,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.20 : 7,489.20 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    4,993.20/7,489.20 = 2,071.20/x
  3. Step 3: Cross multiply
    4,993.20x = 7,489.20 × 2,071.20
  4. Step 4: Simplify right side
    4,993.20x = 15,511,631.04
  5. Step 5: Solve for x
    x = 15,511,631.04/4,993.20
  6. Step 6: Final answer
    x = 3,106.55

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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.