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Finding the Fourth Proportional to 3,005.56, 4,149.28 and 2,012.53

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Solution

The fourth proportional to 3,005.56, 4,149.28 and 2,012.53 is: 2,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.56 : 4,149.28 = 2,012.53 : x
  2. Step 2: Convert to fraction form
    3,005.56/4,149.28 = 2,012.53/x
  3. Step 3: Cross multiply
    3,005.56x = 4,149.28 × 2,012.53
  4. Step 4: Simplify right side
    3,005.56x = 8,350,550.48
  5. Step 5: Solve for x
    x = 8,350,550.48/3,005.56
  6. Step 6: Final answer
    x = 2,778.37

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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.