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Finding the Fourth Proportional to 3,578.65, 4,939.57 and 2,162.11

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Solution

The fourth proportional to 3,578.65, 4,939.57 and 2,162.11 is: 2,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.65 : 4,939.57 = 2,162.11 : x
  2. Step 2: Convert to fraction form
    3,578.65/4,939.57 = 2,162.11/x
  3. Step 3: Cross multiply
    3,578.65x = 4,939.57 × 2,162.11
  4. Step 4: Simplify right side
    3,578.65x = 10,679,893.69
  5. Step 5: Solve for x
    x = 10,679,893.69/3,578.65
  6. Step 6: Final answer
    x = 2,984.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.