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Finding the Fourth Proportional to 4,102.75, 5,662 and 2,334.52

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Solution

The fourth proportional to 4,102.75, 5,662 and 2,334.52 is: 3,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.75 : 5,662 = 2,334.52 : x
  2. Step 2: Convert to fraction form
    4,102.75/5,662 = 2,334.52/x
  3. Step 3: Cross multiply
    4,102.75x = 5,662 × 2,334.52
  4. Step 4: Simplify right side
    4,102.75x = 13,218,052.24
  5. Step 5: Solve for x
    x = 13,218,052.24/4,102.75
  6. Step 6: Final answer
    x = 3,221.75

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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.