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Finding the Fourth Proportional to 3,356.11, 5,034.26 and 1,164.85

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Solution

The fourth proportional to 3,356.11, 5,034.26 and 1,164.85 is: 1,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.11 : 5,034.26 = 1,164.85 : x
  2. Step 2: Convert to fraction form
    3,356.11/5,034.26 = 1,164.85/x
  3. Step 3: Cross multiply
    3,356.11x = 5,034.26 × 1,164.85
  4. Step 4: Simplify right side
    3,356.11x = 5,864,157.76
  5. Step 5: Solve for x
    x = 5,864,157.76/3,356.11
  6. Step 6: Final answer
    x = 1,747.31

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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.