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Finding the Fourth Proportional to 5,093.38, 7,641.22 and 2,319.31

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Solution

The fourth proportional to 5,093.38, 7,641.22 and 2,319.31 is: 3,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.38 : 7,641.22 = 2,319.31 : x
  2. Step 2: Convert to fraction form
    5,093.38/7,641.22 = 2,319.31/x
  3. Step 3: Cross multiply
    5,093.38x = 7,641.22 × 2,319.31
  4. Step 4: Simplify right side
    5,093.38x = 17,722,333.06
  5. Step 5: Solve for x
    x = 17,722,333.06/5,093.38
  6. Step 6: Final answer
    x = 3,479.49

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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.