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Finding the Fourth Proportional to 3,843.90, 5,766.76 and 1,652.64

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Solution

The fourth proportional to 3,843.90, 5,766.76 and 1,652.64 is: 2,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.90 : 5,766.76 = 1,652.64 : x
  2. Step 2: Convert to fraction form
    3,843.90/5,766.76 = 1,652.64/x
  3. Step 3: Cross multiply
    3,843.90x = 5,766.76 × 1,652.64
  4. Step 4: Simplify right side
    3,843.90x = 9,530,378.25
  5. Step 5: Solve for x
    x = 9,530,378.25/3,843.90
  6. Step 6: Final answer
    x = 2,479.35

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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.