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Finding the Fourth Proportional to 3,394.49, 4,682.21 and 2,448.77

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Solution

The fourth proportional to 3,394.49, 4,682.21 and 2,448.77 is: 3,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.49 : 4,682.21 = 2,448.77 : x
  2. Step 2: Convert to fraction form
    3,394.49/4,682.21 = 2,448.77/x
  3. Step 3: Cross multiply
    3,394.49x = 4,682.21 × 2,448.77
  4. Step 4: Simplify right side
    3,394.49x = 11,465,619.73
  5. Step 5: Solve for x
    x = 11,465,619.73/3,394.49
  6. Step 6: Final answer
    x = 3,377.72

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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.