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Finding the Fourth Proportional to 5,138.67, 7,091.37 and 2,780.81

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Solution

The fourth proportional to 5,138.67, 7,091.37 and 2,780.81 is: 3,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.67 : 7,091.37 = 2,780.81 : x
  2. Step 2: Convert to fraction form
    5,138.67/7,091.37 = 2,780.81/x
  3. Step 3: Cross multiply
    5,138.67x = 7,091.37 × 2,780.81
  4. Step 4: Simplify right side
    5,138.67x = 19,719,770.34
  5. Step 5: Solve for x
    x = 19,719,770.34/5,138.67
  6. Step 6: Final answer
    x = 3,837.52

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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.