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Finding the Fourth Proportional to 3,665.74, 5,053.82 and 3,033.94

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Solution

The fourth proportional to 3,665.74, 5,053.82 and 3,033.94 is: 4,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.74 : 5,053.82 = 3,033.94 : x
  2. Step 2: Convert to fraction form
    3,665.74/5,053.82 = 3,033.94/x
  3. Step 3: Cross multiply
    3,665.74x = 5,053.82 × 3,033.94
  4. Step 4: Simplify right side
    3,665.74x = 15,332,986.65
  5. Step 5: Solve for x
    x = 15,332,986.65/3,665.74
  6. Step 6: Final answer
    x = 4,182.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.