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Finding the Fourth Proportional to 3,136.74, 4,706.64 and 2,218.20

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Solution

The fourth proportional to 3,136.74, 4,706.64 and 2,218.20 is: 3,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.74 : 4,706.64 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    3,136.74/4,706.64 = 2,218.20/x
  3. Step 3: Cross multiply
    3,136.74x = 4,706.64 × 2,218.20
  4. Step 4: Simplify right side
    3,136.74x = 10,440,251.20
  5. Step 5: Solve for x
    x = 10,440,251.20/3,136.74
  6. Step 6: Final answer
    x = 3,328.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.