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Finding the Fourth Proportional to 5,144.73, 7,715.49 and 1,857.39

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Solution

The fourth proportional to 5,144.73, 7,715.49 and 1,857.39 is: 2,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.73 : 7,715.49 = 1,857.39 : x
  2. Step 2: Convert to fraction form
    5,144.73/7,715.49 = 1,857.39/x
  3. Step 3: Cross multiply
    5,144.73x = 7,715.49 × 1,857.39
  4. Step 4: Simplify right side
    5,144.73x = 14,330,673.97
  5. Step 5: Solve for x
    x = 14,330,673.97/5,144.73
  6. Step 6: Final answer
    x = 2,785.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.