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Finding the Fourth Proportional to 4,839.12, 7,258.68 and 2,529

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Solution

The fourth proportional to 4,839.12, 7,258.68 and 2,529 is: 3,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.12 : 7,258.68 = 2,529 : x
  2. Step 2: Convert to fraction form
    4,839.12/7,258.68 = 2,529/x
  3. Step 3: Cross multiply
    4,839.12x = 7,258.68 × 2,529
  4. Step 4: Simplify right side
    4,839.12x = 18,357,201.72
  5. Step 5: Solve for x
    x = 18,357,201.72/4,839.12
  6. Step 6: Final answer
    x = 3,793.50

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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.