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Finding the Fourth Proportional to 3,451.62, 4,760.42 and 2,122.94

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Solution

The fourth proportional to 3,451.62, 4,760.42 and 2,122.94 is: 2,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.62 : 4,760.42 = 2,122.94 : x
  2. Step 2: Convert to fraction form
    3,451.62/4,760.42 = 2,122.94/x
  3. Step 3: Cross multiply
    3,451.62x = 4,760.42 × 2,122.94
  4. Step 4: Simplify right side
    3,451.62x = 10,106,086.03
  5. Step 5: Solve for x
    x = 10,106,086.03/3,451.62
  6. Step 6: Final answer
    x = 2,927.93

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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.