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Finding the Fourth Proportional to 3,186.78, 4,397.73 and 1,789.50

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Solution

The fourth proportional to 3,186.78, 4,397.73 and 1,789.50 is: 2,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.78 : 4,397.73 = 1,789.50 : x
  2. Step 2: Convert to fraction form
    3,186.78/4,397.73 = 1,789.50/x
  3. Step 3: Cross multiply
    3,186.78x = 4,397.73 × 1,789.50
  4. Step 4: Simplify right side
    3,186.78x = 7,869,737.84
  5. Step 5: Solve for x
    x = 7,869,737.84/3,186.78
  6. Step 6: Final answer
    x = 2,469.50

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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.