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Finding the Fourth Proportional to 3,136.93, 4,706.19 and 2,214.29

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Solution

The fourth proportional to 3,136.93, 4,706.19 and 2,214.29 is: 3,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.93 : 4,706.19 = 2,214.29 : x
  2. Step 2: Convert to fraction form
    3,136.93/4,706.19 = 2,214.29/x
  3. Step 3: Cross multiply
    3,136.93x = 4,706.19 × 2,214.29
  4. Step 4: Simplify right side
    3,136.93x = 10,420,881.22
  5. Step 5: Solve for x
    x = 10,420,881.22/3,136.93
  6. Step 6: Final answer
    x = 3,322.00

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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.