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Finding the Fourth Proportional to 5,136.36, 7,664.24 and 4,822.92

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Solution

The fourth proportional to 5,136.36, 7,664.24 and 4,822.92 is: 7,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.36 : 7,664.24 = 4,822.92 : x
  2. Step 2: Convert to fraction form
    5,136.36/7,664.24 = 4,822.92/x
  3. Step 3: Cross multiply
    5,136.36x = 7,664.24 × 4,822.92
  4. Step 4: Simplify right side
    5,136.36x = 36,964,016.38
  5. Step 5: Solve for x
    x = 36,964,016.38/5,136.36
  6. Step 6: Final answer
    x = 7,196.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.