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Finding the Fourth Proportional to 3,766.76, 5,198.14 and 2,088.44

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Solution

The fourth proportional to 3,766.76, 5,198.14 and 2,088.44 is: 2,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.76 : 5,198.14 = 2,088.44 : x
  2. Step 2: Convert to fraction form
    3,766.76/5,198.14 = 2,088.44/x
  3. Step 3: Cross multiply
    3,766.76x = 5,198.14 × 2,088.44
  4. Step 4: Simplify right side
    3,766.76x = 10,856,003.50
  5. Step 5: Solve for x
    x = 10,856,003.50/3,766.76
  6. Step 6: Final answer
    x = 2,882.05

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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.