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Finding the Fourth Proportional to 3,487.78, 5,231.67 and 2,452.41

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Solution

The fourth proportional to 3,487.78, 5,231.67 and 2,452.41 is: 3,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.78 : 5,231.67 = 2,452.41 : x
  2. Step 2: Convert to fraction form
    3,487.78/5,231.67 = 2,452.41/x
  3. Step 3: Cross multiply
    3,487.78x = 5,231.67 × 2,452.41
  4. Step 4: Simplify right side
    3,487.78x = 12,830,199.82
  5. Step 5: Solve for x
    x = 12,830,199.82/3,487.78
  6. Step 6: Final answer
    x = 3,678.62

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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.