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Finding the Fourth Proportional to 3,490.65, 5,233.82 and 1,182.33

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Solution

The fourth proportional to 3,490.65, 5,233.82 and 1,182.33 is: 1,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.65 : 5,233.82 = 1,182.33 : x
  2. Step 2: Convert to fraction form
    3,490.65/5,233.82 = 1,182.33/x
  3. Step 3: Cross multiply
    3,490.65x = 5,233.82 × 1,182.33
  4. Step 4: Simplify right side
    3,490.65x = 6,188,096.49
  5. Step 5: Solve for x
    x = 6,188,096.49/3,490.65
  6. Step 6: Final answer
    x = 1,772.76

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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.