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Finding the Fourth Proportional to 3,254.52, 4,881.74 and 789.37

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Solution

The fourth proportional to 3,254.52, 4,881.74 and 789.37 is: 1,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.52 : 4,881.74 = 789.37 : x
  2. Step 2: Convert to fraction form
    3,254.52/4,881.74 = 789.37/x
  3. Step 3: Cross multiply
    3,254.52x = 4,881.74 × 789.37
  4. Step 4: Simplify right side
    3,254.52x = 3,853,474.70
  5. Step 5: Solve for x
    x = 3,853,474.70/3,254.52
  6. Step 6: Final answer
    x = 1,184.04

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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.