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Finding the Fourth Proportional to 3,364.80, 5,045.20 and 2,067.20

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Solution

The fourth proportional to 3,364.80, 5,045.20 and 2,067.20 is: 3,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.80 : 5,045.20 = 2,067.20 : x
  2. Step 2: Convert to fraction form
    3,364.80/5,045.20 = 2,067.20/x
  3. Step 3: Cross multiply
    3,364.80x = 5,045.20 × 2,067.20
  4. Step 4: Simplify right side
    3,364.80x = 10,429,437.44
  5. Step 5: Solve for x
    x = 10,429,437.44/3,364.80
  6. Step 6: Final answer
    x = 3,099.57

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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.