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Finding the Fourth Proportional to 3,862.76, 5,794.49 and 1,230.85

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Solution

The fourth proportional to 3,862.76, 5,794.49 and 1,230.85 is: 1,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.76 : 5,794.49 = 1,230.85 : x
  2. Step 2: Convert to fraction form
    3,862.76/5,794.49 = 1,230.85/x
  3. Step 3: Cross multiply
    3,862.76x = 5,794.49 × 1,230.85
  4. Step 4: Simplify right side
    3,862.76x = 7,132,148.02
  5. Step 5: Solve for x
    x = 7,132,148.02/3,862.76
  6. Step 6: Final answer
    x = 1,846.39

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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.