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Finding the Fourth Proportional to 3,446.54, 4,758.99 and 2,396.78

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Solution

The fourth proportional to 3,446.54, 4,758.99 and 2,396.78 is: 3,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.54 : 4,758.99 = 2,396.78 : x
  2. Step 2: Convert to fraction form
    3,446.54/4,758.99 = 2,396.78/x
  3. Step 3: Cross multiply
    3,446.54x = 4,758.99 × 2,396.78
  4. Step 4: Simplify right side
    3,446.54x = 11,406,252.05
  5. Step 5: Solve for x
    x = 11,406,252.05/3,446.54
  6. Step 6: Final answer
    x = 3,309.48

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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.