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Finding the Fourth Proportional to 3,647.36, 5,471.99 and 1,148.44

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Solution

The fourth proportional to 3,647.36, 5,471.99 and 1,148.44 is: 1,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.36 : 5,471.99 = 1,148.44 : x
  2. Step 2: Convert to fraction form
    3,647.36/5,471.99 = 1,148.44/x
  3. Step 3: Cross multiply
    3,647.36x = 5,471.99 × 1,148.44
  4. Step 4: Simplify right side
    3,647.36x = 6,284,252.20
  5. Step 5: Solve for x
    x = 6,284,252.20/3,647.36
  6. Step 6: Final answer
    x = 1,722.96

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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.