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Finding the Fourth Proportional to 3,986.49, 6,006.33 and 3,611.71

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Solution

The fourth proportional to 3,986.49, 6,006.33 and 3,611.71 is: 5,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.49 : 6,006.33 = 3,611.71 : x
  2. Step 2: Convert to fraction form
    3,986.49/6,006.33 = 3,611.71/x
  3. Step 3: Cross multiply
    3,986.49x = 6,006.33 × 3,611.71
  4. Step 4: Simplify right side
    3,986.49x = 21,693,089.05
  5. Step 5: Solve for x
    x = 21,693,089.05/3,986.49
  6. Step 6: Final answer
    x = 5,441.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.