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Finding the Fourth Proportional to 3,772.60, 5,206.10 and 2,093.92

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Solution

The fourth proportional to 3,772.60, 5,206.10 and 2,093.92 is: 2,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.60 : 5,206.10 = 2,093.92 : x
  2. Step 2: Convert to fraction form
    3,772.60/5,206.10 = 2,093.92/x
  3. Step 3: Cross multiply
    3,772.60x = 5,206.10 × 2,093.92
  4. Step 4: Simplify right side
    3,772.60x = 10,901,156.91
  5. Step 5: Solve for x
    x = 10,901,156.91/3,772.60
  6. Step 6: Final answer
    x = 2,889.56

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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.