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Finding the Fourth Proportional to 3,356.46, 5,031.25 and 1,163.99

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Solution

The fourth proportional to 3,356.46, 5,031.25 and 1,163.99 is: 1,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.46 : 5,031.25 = 1,163.99 : x
  2. Step 2: Convert to fraction form
    3,356.46/5,031.25 = 1,163.99/x
  3. Step 3: Cross multiply
    3,356.46x = 5,031.25 × 1,163.99
  4. Step 4: Simplify right side
    3,356.46x = 5,856,334.36
  5. Step 5: Solve for x
    x = 5,856,334.36/3,356.46
  6. Step 6: Final answer
    x = 1,744.79

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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.