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Finding the Fourth Proportional to 4,104.57, 6,154.89 and 2,023.89

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Solution

The fourth proportional to 4,104.57, 6,154.89 and 2,023.89 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.57 : 6,154.89 = 2,023.89 : x
  2. Step 2: Convert to fraction form
    4,104.57/6,154.89 = 2,023.89/x
  3. Step 3: Cross multiply
    4,104.57x = 6,154.89 × 2,023.89
  4. Step 4: Simplify right side
    4,104.57x = 12,456,789.65
  5. Step 5: Solve for x
    x = 12,456,789.65/4,104.57
  6. Step 6: Final answer
    x = 3,034.86

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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.