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Finding the Fourth Proportional to 3,356, 5,033.92 and 1,166.24

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Solution

The fourth proportional to 3,356, 5,033.92 and 1,166.24 is: 1,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356 : 5,033.92 = 1,166.24 : x
  2. Step 2: Convert to fraction form
    3,356/5,033.92 = 1,166.24/x
  3. Step 3: Cross multiply
    3,356x = 5,033.92 × 1,166.24
  4. Step 4: Simplify right side
    3,356x = 5,870,758.86
  5. Step 5: Solve for x
    x = 5,870,758.86/3,356
  6. Step 6: Final answer
    x = 1,749.33

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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.