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Finding the Fourth Proportional to 5,072.78, 7,608.92 and 1,785.90

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Solution

The fourth proportional to 5,072.78, 7,608.92 and 1,785.90 is: 2,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.78 : 7,608.92 = 1,785.90 : x
  2. Step 2: Convert to fraction form
    5,072.78/7,608.92 = 1,785.90/x
  3. Step 3: Cross multiply
    5,072.78x = 7,608.92 × 1,785.90
  4. Step 4: Simplify right side
    5,072.78x = 13,588,761.30
  5. Step 5: Solve for x
    x = 13,588,761.30/5,072.78
  6. Step 6: Final answer
    x = 2,678.76

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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.