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Finding the Fourth Proportional to 3,422, 4,722.36 and 2,491.28

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Solution

The fourth proportional to 3,422, 4,722.36 and 2,491.28 is: 3,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422 : 4,722.36 = 2,491.28 : x
  2. Step 2: Convert to fraction form
    3,422/4,722.36 = 2,491.28/x
  3. Step 3: Cross multiply
    3,422x = 4,722.36 × 2,491.28
  4. Step 4: Simplify right side
    3,422x = 11,764,721.02
  5. Step 5: Solve for x
    x = 11,764,721.02/3,422
  6. Step 6: Final answer
    x = 3,437.97

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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.