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Finding the Fourth Proportional to 5,253.89, 7,883.57 and 2,136.20

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Solution

The fourth proportional to 5,253.89, 7,883.57 and 2,136.20 is: 3,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.89 : 7,883.57 = 2,136.20 : x
  2. Step 2: Convert to fraction form
    5,253.89/7,883.57 = 2,136.20/x
  3. Step 3: Cross multiply
    5,253.89x = 7,883.57 × 2,136.20
  4. Step 4: Simplify right side
    5,253.89x = 16,840,848.16
  5. Step 5: Solve for x
    x = 16,840,848.16/5,253.89
  6. Step 6: Final answer
    x = 3,205.41

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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.