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Finding the Fourth Proportional to 3,049.56, 4,568.45 and 2,006.42

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Solution

The fourth proportional to 3,049.56, 4,568.45 and 2,006.42 is: 3,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.56 : 4,568.45 = 2,006.42 : x
  2. Step 2: Convert to fraction form
    3,049.56/4,568.45 = 2,006.42/x
  3. Step 3: Cross multiply
    3,049.56x = 4,568.45 × 2,006.42
  4. Step 4: Simplify right side
    3,049.56x = 9,166,196.57
  5. Step 5: Solve for x
    x = 9,166,196.57/3,049.56
  6. Step 6: Final answer
    x = 3,005.74

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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.