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Finding the Fourth Proportional to 3,006, 4,148.28 and 1,959.84

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Solution

The fourth proportional to 3,006, 4,148.28 and 1,959.84 is: 2,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,148.28 = 1,959.84 : x
  2. Step 2: Convert to fraction form
    3,006/4,148.28 = 1,959.84/x
  3. Step 3: Cross multiply
    3,006x = 4,148.28 × 1,959.84
  4. Step 4: Simplify right side
    3,006x = 8,129,965.08
  5. Step 5: Solve for x
    x = 8,129,965.08/3,006
  6. Step 6: Final answer
    x = 2,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.