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Finding the Fourth Proportional to 5,452.25, 8,178.20 and 1,754.69

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Solution

The fourth proportional to 5,452.25, 8,178.20 and 1,754.69 is: 2,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.25 : 8,178.20 = 1,754.69 : x
  2. Step 2: Convert to fraction form
    5,452.25/8,178.20 = 1,754.69/x
  3. Step 3: Cross multiply
    5,452.25x = 8,178.20 × 1,754.69
  4. Step 4: Simplify right side
    5,452.25x = 14,350,196.98
  5. Step 5: Solve for x
    x = 14,350,196.98/5,452.25
  6. Step 6: Final answer
    x = 2,631.98

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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.