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Finding the Fourth Proportional to 5,138.59, 7,091.25 and 2,780.74

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Solution

The fourth proportional to 5,138.59, 7,091.25 and 2,780.74 is: 3,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.59 : 7,091.25 = 2,780.74 : x
  2. Step 2: Convert to fraction form
    5,138.59/7,091.25 = 2,780.74/x
  3. Step 3: Cross multiply
    5,138.59x = 7,091.25 × 2,780.74
  4. Step 4: Simplify right side
    5,138.59x = 19,718,922.53
  5. Step 5: Solve for x
    x = 19,718,922.53/5,138.59
  6. Step 6: Final answer
    x = 3,837.42

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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.