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Finding the Fourth Proportional to 5,245.20, 7,866.14 and 1,734.55

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Solution

The fourth proportional to 5,245.20, 7,866.14 and 1,734.55 is: 2,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.20 : 7,866.14 = 1,734.55 : x
  2. Step 2: Convert to fraction form
    5,245.20/7,866.14 = 1,734.55/x
  3. Step 3: Cross multiply
    5,245.20x = 7,866.14 × 1,734.55
  4. Step 4: Simplify right side
    5,245.20x = 13,644,184.80
  5. Step 5: Solve for x
    x = 13,644,184.80/5,245.20
  6. Step 6: Final answer
    x = 2,601.27

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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.