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Finding the Fourth Proportional to 3,452.25, 5,178.42 and 1,143.75

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Solution

The fourth proportional to 3,452.25, 5,178.42 and 1,143.75 is: 1,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.25 : 5,178.42 = 1,143.75 : x
  2. Step 2: Convert to fraction form
    3,452.25/5,178.42 = 1,143.75/x
  3. Step 3: Cross multiply
    3,452.25x = 5,178.42 × 1,143.75
  4. Step 4: Simplify right side
    3,452.25x = 5,922,817.88
  5. Step 5: Solve for x
    x = 5,922,817.88/3,452.25
  6. Step 6: Final answer
    x = 1,715.64

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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.