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Finding the Fourth Proportional to 3,039.62, 4,559.46 and 959.59

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Solution

The fourth proportional to 3,039.62, 4,559.46 and 959.59 is: 1,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.62 : 4,559.46 = 959.59 : x
  2. Step 2: Convert to fraction form
    3,039.62/4,559.46 = 959.59/x
  3. Step 3: Cross multiply
    3,039.62x = 4,559.46 × 959.59
  4. Step 4: Simplify right side
    3,039.62x = 4,375,189.42
  5. Step 5: Solve for x
    x = 4,375,189.42/3,039.62
  6. Step 6: Final answer
    x = 1,439.39

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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.