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Finding the Fourth Proportional to 3,491.56, 4,817.44 and 2,074.87

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Solution

The fourth proportional to 3,491.56, 4,817.44 and 2,074.87 is: 2,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.56 : 4,817.44 = 2,074.87 : x
  2. Step 2: Convert to fraction form
    3,491.56/4,817.44 = 2,074.87/x
  3. Step 3: Cross multiply
    3,491.56x = 4,817.44 × 2,074.87
  4. Step 4: Simplify right side
    3,491.56x = 9,995,561.73
  5. Step 5: Solve for x
    x = 9,995,561.73/3,491.56
  6. Step 6: Final answer
    x = 2,862.78

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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.