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Finding the Fourth Proportional to 5,171.80, 7,136.98 and 2,814

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Solution

The fourth proportional to 5,171.80, 7,136.98 and 2,814 is: 3,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.80 : 7,136.98 = 2,814 : x
  2. Step 2: Convert to fraction form
    5,171.80/7,136.98 = 2,814/x
  3. Step 3: Cross multiply
    5,171.80x = 7,136.98 × 2,814
  4. Step 4: Simplify right side
    5,171.80x = 20,083,461.72
  5. Step 5: Solve for x
    x = 20,083,461.72/5,171.80
  6. Step 6: Final answer
    x = 3,883.26

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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.