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Finding the Fourth Proportional to 3,447.75, 5,172.11 and 1,599.36

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Solution

The fourth proportional to 3,447.75, 5,172.11 and 1,599.36 is: 2,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 5,172.11 = 1,599.36 : x
  2. Step 2: Convert to fraction form
    3,447.75/5,172.11 = 1,599.36/x
  3. Step 3: Cross multiply
    3,447.75x = 5,172.11 × 1,599.36
  4. Step 4: Simplify right side
    3,447.75x = 8,272,065.85
  5. Step 5: Solve for x
    x = 8,272,065.85/3,447.75
  6. Step 6: Final answer
    x = 2,399.26

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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.