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Finding the Fourth Proportional to 3,504.87, 5,257.19 and 1,424.27

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Solution

The fourth proportional to 3,504.87, 5,257.19 and 1,424.27 is: 2,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.87 : 5,257.19 = 1,424.27 : x
  2. Step 2: Convert to fraction form
    3,504.87/5,257.19 = 1,424.27/x
  3. Step 3: Cross multiply
    3,504.87x = 5,257.19 × 1,424.27
  4. Step 4: Simplify right side
    3,504.87x = 7,487,631.72
  5. Step 5: Solve for x
    x = 7,487,631.72/3,504.87
  6. Step 6: Final answer
    x = 2,136.35

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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.