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Finding the Fourth Proportional to 4,942.54, 7,414.62 and 2,169.10

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Solution

The fourth proportional to 4,942.54, 7,414.62 and 2,169.10 is: 3,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.54 : 7,414.62 = 2,169.10 : x
  2. Step 2: Convert to fraction form
    4,942.54/7,414.62 = 2,169.10/x
  3. Step 3: Cross multiply
    4,942.54x = 7,414.62 × 2,169.10
  4. Step 4: Simplify right side
    4,942.54x = 16,083,052.24
  5. Step 5: Solve for x
    x = 16,083,052.24/4,942.54
  6. Step 6: Final answer
    x = 3,254.01

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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.