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Finding the Fourth Proportional to 3,424.32, 5,136.48 and 3,277.44

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Solution

The fourth proportional to 3,424.32, 5,136.48 and 3,277.44 is: 4,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.32 : 5,136.48 = 3,277.44 : x
  2. Step 2: Convert to fraction form
    3,424.32/5,136.48 = 3,277.44/x
  3. Step 3: Cross multiply
    3,424.32x = 5,136.48 × 3,277.44
  4. Step 4: Simplify right side
    3,424.32x = 16,834,505.01
  5. Step 5: Solve for x
    x = 16,834,505.01/3,424.32
  6. Step 6: Final answer
    x = 4,916.16

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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.