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Finding the Fourth Proportional to 5,138.76, 7,093.26 and 3,042.78

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Solution

The fourth proportional to 5,138.76, 7,093.26 and 3,042.78 is: 4,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.76 : 7,093.26 = 3,042.78 : x
  2. Step 2: Convert to fraction form
    5,138.76/7,093.26 = 3,042.78/x
  3. Step 3: Cross multiply
    5,138.76x = 7,093.26 × 3,042.78
  4. Step 4: Simplify right side
    5,138.76x = 21,583,229.66
  5. Step 5: Solve for x
    x = 21,583,229.66/5,138.76
  6. Step 6: Final answer
    x = 4,200.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.