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Finding the Fourth Proportional to 5,138.48, 7,091.03 and 2,780.61

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Solution

The fourth proportional to 5,138.48, 7,091.03 and 2,780.61 is: 3,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.48 : 7,091.03 = 2,780.61 : x
  2. Step 2: Convert to fraction form
    5,138.48/7,091.03 = 2,780.61/x
  3. Step 3: Cross multiply
    5,138.48x = 7,091.03 × 2,780.61
  4. Step 4: Simplify right side
    5,138.48x = 19,717,375.03
  5. Step 5: Solve for x
    x = 19,717,375.03/5,138.48
  6. Step 6: Final answer
    x = 3,837.20

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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.