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Finding the Fourth Proportional to 4,134.14, 5,703 and 2,640.48

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Solution

The fourth proportional to 4,134.14, 5,703 and 2,640.48 is: 3,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.14 : 5,703 = 2,640.48 : x
  2. Step 2: Convert to fraction form
    4,134.14/5,703 = 2,640.48/x
  3. Step 3: Cross multiply
    4,134.14x = 5,703 × 2,640.48
  4. Step 4: Simplify right side
    4,134.14x = 15,058,657.44
  5. Step 5: Solve for x
    x = 15,058,657.44/4,134.14
  6. Step 6: Final answer
    x = 3,642.51

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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.