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Finding the Fourth Proportional to 3,823.57, 5,735.31 and 1,452.12

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Solution

The fourth proportional to 3,823.57, 5,735.31 and 1,452.12 is: 2,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.57 : 5,735.31 = 1,452.12 : x
  2. Step 2: Convert to fraction form
    3,823.57/5,735.31 = 1,452.12/x
  3. Step 3: Cross multiply
    3,823.57x = 5,735.31 × 1,452.12
  4. Step 4: Simplify right side
    3,823.57x = 8,328,358.36
  5. Step 5: Solve for x
    x = 8,328,358.36/3,823.57
  6. Step 6: Final answer
    x = 2,178.16

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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.