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Finding the Fourth Proportional to 3,523.62, 4,862.25 and 2,281.62

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Solution

The fourth proportional to 3,523.62, 4,862.25 and 2,281.62 is: 3,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.62 : 4,862.25 = 2,281.62 : x
  2. Step 2: Convert to fraction form
    3,523.62/4,862.25 = 2,281.62/x
  3. Step 3: Cross multiply
    3,523.62x = 4,862.25 × 2,281.62
  4. Step 4: Simplify right side
    3,523.62x = 11,093,806.85
  5. Step 5: Solve for x
    x = 11,093,806.85/3,523.62
  6. Step 6: Final answer
    x = 3,148.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.