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Finding the Fourth Proportional to 3,122.70, 4,314.39 and 3,091.98

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Solution

The fourth proportional to 3,122.70, 4,314.39 and 3,091.98 is: 4,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.70 : 4,314.39 = 3,091.98 : x
  2. Step 2: Convert to fraction form
    3,122.70/4,314.39 = 3,091.98/x
  3. Step 3: Cross multiply
    3,122.70x = 4,314.39 × 3,091.98
  4. Step 4: Simplify right side
    3,122.70x = 13,340,007.59
  5. Step 5: Solve for x
    x = 13,340,007.59/3,122.70
  6. Step 6: Final answer
    x = 4,271.95

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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.