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Finding the Fourth Proportional to 4,734.88, 7,102.34 and 2,134.78

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Solution

The fourth proportional to 4,734.88, 7,102.34 and 2,134.78 is: 3,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.88 : 7,102.34 = 2,134.78 : x
  2. Step 2: Convert to fraction form
    4,734.88/7,102.34 = 2,134.78/x
  3. Step 3: Cross multiply
    4,734.88x = 7,102.34 × 2,134.78
  4. Step 4: Simplify right side
    4,734.88x = 15,161,933.39
  5. Step 5: Solve for x
    x = 15,161,933.39/4,734.88
  6. Step 6: Final answer
    x = 3,202.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.