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Finding the Fourth Proportional to 4,689.74, 7,034.11 and 1,879.76

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Solution

The fourth proportional to 4,689.74, 7,034.11 and 1,879.76 is: 2,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.74 : 7,034.11 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    4,689.74/7,034.11 = 1,879.76/x
  3. Step 3: Cross multiply
    4,689.74x = 7,034.11 × 1,879.76
  4. Step 4: Simplify right side
    4,689.74x = 13,222,451.50
  5. Step 5: Solve for x
    x = 13,222,451.50/4,689.74
  6. Step 6: Final answer
    x = 2,819.44

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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.