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Finding the Fourth Proportional to 3,959.70, 5,464.41 and 2,191.37

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Solution

The fourth proportional to 3,959.70, 5,464.41 and 2,191.37 is: 3,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.70 : 5,464.41 = 2,191.37 : x
  2. Step 2: Convert to fraction form
    3,959.70/5,464.41 = 2,191.37/x
  3. Step 3: Cross multiply
    3,959.70x = 5,464.41 × 2,191.37
  4. Step 4: Simplify right side
    3,959.70x = 11,974,544.14
  5. Step 5: Solve for x
    x = 11,974,544.14/3,959.70
  6. Step 6: Final answer
    x = 3,024.10

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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.