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Finding the Fourth Proportional to 3,446.94, 5,139.53 and 3,384.75

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Solution

The fourth proportional to 3,446.94, 5,139.53 and 3,384.75 is: 5,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.94 : 5,139.53 = 3,384.75 : x
  2. Step 2: Convert to fraction form
    3,446.94/5,139.53 = 3,384.75/x
  3. Step 3: Cross multiply
    3,446.94x = 5,139.53 × 3,384.75
  4. Step 4: Simplify right side
    3,446.94x = 17,396,007.24
  5. Step 5: Solve for x
    x = 17,396,007.24/3,446.94
  6. Step 6: Final answer
    x = 5,046.80

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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.