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Finding the Fourth Proportional to 3,666.33, 5,499.82 and 1,033.86

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Solution

The fourth proportional to 3,666.33, 5,499.82 and 1,033.86 is: 1,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.33 : 5,499.82 = 1,033.86 : x
  2. Step 2: Convert to fraction form
    3,666.33/5,499.82 = 1,033.86/x
  3. Step 3: Cross multiply
    3,666.33x = 5,499.82 × 1,033.86
  4. Step 4: Simplify right side
    3,666.33x = 5,686,046.49
  5. Step 5: Solve for x
    x = 5,686,046.49/3,666.33
  6. Step 6: Final answer
    x = 1,550.88

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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.