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Finding the Fourth Proportional to 3,396.88, 4,684.63 and 2,200.65

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Solution

The fourth proportional to 3,396.88, 4,684.63 and 2,200.65 is: 3,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.88 : 4,684.63 = 2,200.65 : x
  2. Step 2: Convert to fraction form
    3,396.88/4,684.63 = 2,200.65/x
  3. Step 3: Cross multiply
    3,396.88x = 4,684.63 × 2,200.65
  4. Step 4: Simplify right side
    3,396.88x = 10,309,232.23
  5. Step 5: Solve for x
    x = 10,309,232.23/3,396.88
  6. Step 6: Final answer
    x = 3,034.91

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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.