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Finding the Fourth Proportional to 3,449.88, 4,758.26 and 2,191.30

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Solution

The fourth proportional to 3,449.88, 4,758.26 and 2,191.30 is: 3,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.88 : 4,758.26 = 2,191.30 : x
  2. Step 2: Convert to fraction form
    3,449.88/4,758.26 = 2,191.30/x
  3. Step 3: Cross multiply
    3,449.88x = 4,758.26 × 2,191.30
  4. Step 4: Simplify right side
    3,449.88x = 10,426,775.14
  5. Step 5: Solve for x
    x = 10,426,775.14/3,449.88
  6. Step 6: Final answer
    x = 3,022.36

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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.