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Finding the Fourth Proportional to 5,284.68, 7,920.23 and 1,993.85

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Solution

The fourth proportional to 5,284.68, 7,920.23 and 1,993.85 is: 2,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.68 : 7,920.23 = 1,993.85 : x
  2. Step 2: Convert to fraction form
    5,284.68/7,920.23 = 1,993.85/x
  3. Step 3: Cross multiply
    5,284.68x = 7,920.23 × 1,993.85
  4. Step 4: Simplify right side
    5,284.68x = 15,791,750.59
  5. Step 5: Solve for x
    x = 15,791,750.59/5,284.68
  6. Step 6: Final answer
    x = 2,988.21

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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.