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Finding the Fourth Proportional to 3,006, 4,149 and 1,764.72

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Solution

The fourth proportional to 3,006, 4,149 and 1,764.72 is: 2,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,149 = 1,764.72 : x
  2. Step 2: Convert to fraction form
    3,006/4,149 = 1,764.72/x
  3. Step 3: Cross multiply
    3,006x = 4,149 × 1,764.72
  4. Step 4: Simplify right side
    3,006x = 7,321,823.28
  5. Step 5: Solve for x
    x = 7,321,823.28/3,006
  6. Step 6: Final answer
    x = 2,435.74

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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.