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Finding the Fourth Proportional to 3,584.61, 4,942.04 and 2,463.57

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Solution

The fourth proportional to 3,584.61, 4,942.04 and 2,463.57 is: 3,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.61 : 4,942.04 = 2,463.57 : x
  2. Step 2: Convert to fraction form
    3,584.61/4,942.04 = 2,463.57/x
  3. Step 3: Cross multiply
    3,584.61x = 4,942.04 × 2,463.57
  4. Step 4: Simplify right side
    3,584.61x = 12,175,049.16
  5. Step 5: Solve for x
    x = 12,175,049.16/3,584.61
  6. Step 6: Final answer
    x = 3,396.48

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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.