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Finding the Fourth Proportional to 4,279.74, 5,906.09 and 2,511.38

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Solution

The fourth proportional to 4,279.74, 5,906.09 and 2,511.38 is: 3,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.74 : 5,906.09 = 2,511.38 : x
  2. Step 2: Convert to fraction form
    4,279.74/5,906.09 = 2,511.38/x
  3. Step 3: Cross multiply
    4,279.74x = 5,906.09 × 2,511.38
  4. Step 4: Simplify right side
    4,279.74x = 14,832,394.22
  5. Step 5: Solve for x
    x = 14,832,394.22/4,279.74
  6. Step 6: Final answer
    x = 3,465.72

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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.