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Finding the Fourth Proportional to 3,396.82, 4,684.62 and 2,452.36

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Solution

The fourth proportional to 3,396.82, 4,684.62 and 2,452.36 is: 3,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.82 : 4,684.62 = 2,452.36 : x
  2. Step 2: Convert to fraction form
    3,396.82/4,684.62 = 2,452.36/x
  3. Step 3: Cross multiply
    3,396.82x = 4,684.62 × 2,452.36
  4. Step 4: Simplify right side
    3,396.82x = 11,488,374.70
  5. Step 5: Solve for x
    x = 11,488,374.70/3,396.82
  6. Step 6: Final answer
    x = 3,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.