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Finding the Fourth Proportional to 3,254.89, 4,882.34 and 789.69

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Solution

The fourth proportional to 3,254.89, 4,882.34 and 789.69 is: 1,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.89 : 4,882.34 = 789.69 : x
  2. Step 2: Convert to fraction form
    3,254.89/4,882.34 = 789.69/x
  3. Step 3: Cross multiply
    3,254.89x = 4,882.34 × 789.69
  4. Step 4: Simplify right side
    3,254.89x = 3,855,533.10
  5. Step 5: Solve for x
    x = 3,855,533.10/3,254.89
  6. Step 6: Final answer
    x = 1,184.53

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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.