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Finding the Fourth Proportional to 3,474.84, 4,796.82 and 2,217.54

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Solution

The fourth proportional to 3,474.84, 4,796.82 and 2,217.54 is: 3,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.84 : 4,796.82 = 2,217.54 : x
  2. Step 2: Convert to fraction form
    3,474.84/4,796.82 = 2,217.54/x
  3. Step 3: Cross multiply
    3,474.84x = 4,796.82 × 2,217.54
  4. Step 4: Simplify right side
    3,474.84x = 10,637,129.14
  5. Step 5: Solve for x
    x = 10,637,129.14/3,474.84
  6. Step 6: Final answer
    x = 3,061.19

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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.