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Finding the Fourth Proportional to 3,396.78, 5,061.82 and 3,285.30

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Solution

The fourth proportional to 3,396.78, 5,061.82 and 3,285.30 is: 4,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.78 : 5,061.82 = 3,285.30 : x
  2. Step 2: Convert to fraction form
    3,396.78/5,061.82 = 3,285.30/x
  3. Step 3: Cross multiply
    3,396.78x = 5,061.82 × 3,285.30
  4. Step 4: Simplify right side
    3,396.78x = 16,629,597.25
  5. Step 5: Solve for x
    x = 16,629,597.25/3,396.78
  6. Step 6: Final answer
    x = 4,895.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.