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Finding the Fourth Proportional to 3,792.94, 5,685.50 and 1,452.30

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Solution

The fourth proportional to 3,792.94, 5,685.50 and 1,452.30 is: 2,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.94 : 5,685.50 = 1,452.30 : x
  2. Step 2: Convert to fraction form
    3,792.94/5,685.50 = 1,452.30/x
  3. Step 3: Cross multiply
    3,792.94x = 5,685.50 × 1,452.30
  4. Step 4: Simplify right side
    3,792.94x = 8,257,062.23
  5. Step 5: Solve for x
    x = 8,257,062.23/3,792.94
  6. Step 6: Final answer
    x = 2,176.96

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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.