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Finding the Fourth Proportional to 3,661.89, 5,486.46 and 3,049.53

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Solution

The fourth proportional to 3,661.89, 5,486.46 and 3,049.53 is: 4,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.89 : 5,486.46 = 3,049.53 : x
  2. Step 2: Convert to fraction form
    3,661.89/5,486.46 = 3,049.53/x
  3. Step 3: Cross multiply
    3,661.89x = 5,486.46 × 3,049.53
  4. Step 4: Simplify right side
    3,661.89x = 16,731,124.36
  5. Step 5: Solve for x
    x = 16,731,124.36/3,661.89
  6. Step 6: Final answer
    x = 4,568.99

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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.