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Finding the Fourth Proportional to 3,703.26, 5,110.26 and 2,024.32

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Solution

The fourth proportional to 3,703.26, 5,110.26 and 2,024.32 is: 2,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.26 : 5,110.26 = 2,024.32 : x
  2. Step 2: Convert to fraction form
    3,703.26/5,110.26 = 2,024.32/x
  3. Step 3: Cross multiply
    3,703.26x = 5,110.26 × 2,024.32
  4. Step 4: Simplify right side
    3,703.26x = 10,344,801.52
  5. Step 5: Solve for x
    x = 10,344,801.52/3,703.26
  6. Step 6: Final answer
    x = 2,793.43

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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.