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Finding the Fourth Proportional to 3,463.89, 5,188.05 and 2,678.37

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Solution

The fourth proportional to 3,463.89, 5,188.05 and 2,678.37 is: 4,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.89 : 5,188.05 = 2,678.37 : x
  2. Step 2: Convert to fraction form
    3,463.89/5,188.05 = 2,678.37/x
  3. Step 3: Cross multiply
    3,463.89x = 5,188.05 × 2,678.37
  4. Step 4: Simplify right side
    3,463.89x = 13,895,517.48
  5. Step 5: Solve for x
    x = 13,895,517.48/3,463.89
  6. Step 6: Final answer
    x = 4,011.54

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