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Finding the Fourth Proportional to 3,028.92, 4,543.78 and 2,974.65

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Solution

The fourth proportional to 3,028.92, 4,543.78 and 2,974.65 is: 4,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.92 : 4,543.78 = 2,974.65 : x
  2. Step 2: Convert to fraction form
    3,028.92/4,543.78 = 2,974.65/x
  3. Step 3: Cross multiply
    3,028.92x = 4,543.78 × 2,974.65
  4. Step 4: Simplify right side
    3,028.92x = 13,516,155.18
  5. Step 5: Solve for x
    x = 13,516,155.18/3,028.92
  6. Step 6: Final answer
    x = 4,462.37

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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.