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Finding the Fourth Proportional to 3,356.34, 5,028.93 and 1,163.88

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Solution

The fourth proportional to 3,356.34, 5,028.93 and 1,163.88 is: 1,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.34 : 5,028.93 = 1,163.88 : x
  2. Step 2: Convert to fraction form
    3,356.34/5,028.93 = 1,163.88/x
  3. Step 3: Cross multiply
    3,356.34x = 5,028.93 × 1,163.88
  4. Step 4: Simplify right side
    3,356.34x = 5,853,071.05
  5. Step 5: Solve for x
    x = 5,853,071.05/3,356.34
  6. Step 6: Final answer
    x = 1,743.89

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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.