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Finding the Fourth Proportional to 3,703.70, 5,111.24 and 2,025.22

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Solution

The fourth proportional to 3,703.70, 5,111.24 and 2,025.22 is: 2,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.70 : 5,111.24 = 2,025.22 : x
  2. Step 2: Convert to fraction form
    3,703.70/5,111.24 = 2,025.22/x
  3. Step 3: Cross multiply
    3,703.70x = 5,111.24 × 2,025.22
  4. Step 4: Simplify right side
    3,703.70x = 10,351,385.47
  5. Step 5: Solve for x
    x = 10,351,385.47/3,703.70
  6. Step 6: Final answer
    x = 2,794.88

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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.