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Finding the Fourth Proportional to 5,122.70, 7,069.74 and 2,969.99

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Solution

The fourth proportional to 5,122.70, 7,069.74 and 2,969.99 is: 4,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.70 : 7,069.74 = 2,969.99 : x
  2. Step 2: Convert to fraction form
    5,122.70/7,069.74 = 2,969.99/x
  3. Step 3: Cross multiply
    5,122.70x = 7,069.74 × 2,969.99
  4. Step 4: Simplify right side
    5,122.70x = 20,997,057.10
  5. Step 5: Solve for x
    x = 20,997,057.10/5,122.70
  6. Step 6: Final answer
    x = 4,098.83

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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.