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Finding the Fourth Proportional to 5,138.57, 7,091.24 and 2,780.71

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Solution

The fourth proportional to 5,138.57, 7,091.24 and 2,780.71 is: 3,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.57 : 7,091.24 = 2,780.71 : x
  2. Step 2: Convert to fraction form
    5,138.57/7,091.24 = 2,780.71/x
  3. Step 3: Cross multiply
    5,138.57x = 7,091.24 × 2,780.71
  4. Step 4: Simplify right side
    5,138.57x = 19,718,681.98
  5. Step 5: Solve for x
    x = 19,718,681.98/5,138.57
  6. Step 6: Final answer
    x = 3,837.39

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Why These Related Problems?

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