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Finding the Fourth Proportional to 5,424.58, 8,131.40 and 2,136.40

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Solution

The fourth proportional to 5,424.58, 8,131.40 and 2,136.40 is: 3,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.58 : 8,131.40 = 2,136.40 : x
  2. Step 2: Convert to fraction form
    5,424.58/8,131.40 = 2,136.40/x
  3. Step 3: Cross multiply
    5,424.58x = 8,131.40 × 2,136.40
  4. Step 4: Simplify right side
    5,424.58x = 17,371,922.96
  5. Step 5: Solve for x
    x = 17,371,922.96/5,424.58
  6. Step 6: Final answer
    x = 3,202.45

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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.