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Finding the Fourth Proportional to 3,475.80, 4,797.36 and 2,296.98

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Solution

The fourth proportional to 3,475.80, 4,797.36 and 2,296.98 is: 3,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.80 : 4,797.36 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    3,475.80/4,797.36 = 2,296.98/x
  3. Step 3: Cross multiply
    3,475.80x = 4,797.36 × 2,296.98
  4. Step 4: Simplify right side
    3,475.80x = 11,019,439.97
  5. Step 5: Solve for x
    x = 11,019,439.97/3,475.80
  6. Step 6: Final answer
    x = 3,170.33

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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.