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Finding the Fourth Proportional to 3,792.87, 5,689.24 and 1,452.24

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Solution

The fourth proportional to 3,792.87, 5,689.24 and 1,452.24 is: 2,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.87 : 5,689.24 = 1,452.24 : x
  2. Step 2: Convert to fraction form
    3,792.87/5,689.24 = 1,452.24/x
  3. Step 3: Cross multiply
    3,792.87x = 5,689.24 × 1,452.24
  4. Step 4: Simplify right side
    3,792.87x = 8,262,138.27
  5. Step 5: Solve for x
    x = 8,262,138.27/3,792.87
  6. Step 6: Final answer
    x = 2,178.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.