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Finding the Fourth Proportional to 3,475.97, 4,797.47 and 2,217.41

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Solution

The fourth proportional to 3,475.97, 4,797.47 and 2,217.41 is: 3,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.97 : 4,797.47 = 2,217.41 : x
  2. Step 2: Convert to fraction form
    3,475.97/4,797.47 = 2,217.41/x
  3. Step 3: Cross multiply
    3,475.97x = 4,797.47 × 2,217.41
  4. Step 4: Simplify right side
    3,475.97x = 10,637,922.88
  5. Step 5: Solve for x
    x = 10,637,922.88/3,475.97
  6. Step 6: Final answer
    x = 3,060.42

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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.