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Finding the Fourth Proportional to 3,451.39, 5,200.14 and 3,122.74

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Solution

The fourth proportional to 3,451.39, 5,200.14 and 3,122.74 is: 4,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.39 : 5,200.14 = 3,122.74 : x
  2. Step 2: Convert to fraction form
    3,451.39/5,200.14 = 3,122.74/x
  3. Step 3: Cross multiply
    3,451.39x = 5,200.14 × 3,122.74
  4. Step 4: Simplify right side
    3,451.39x = 16,238,685.18
  5. Step 5: Solve for x
    x = 16,238,685.18/3,451.39
  6. Step 6: Final answer
    x = 4,704.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.