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Finding the Fourth Proportional to 5,069.50, 6,995.91 and 2,861.50

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Solution

The fourth proportional to 5,069.50, 6,995.91 and 2,861.50 is: 3,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.50 : 6,995.91 = 2,861.50 : x
  2. Step 2: Convert to fraction form
    5,069.50/6,995.91 = 2,861.50/x
  3. Step 3: Cross multiply
    5,069.50x = 6,995.91 × 2,861.50
  4. Step 4: Simplify right side
    5,069.50x = 20,018,796.47
  5. Step 5: Solve for x
    x = 20,018,796.47/5,069.50
  6. Step 6: Final answer
    x = 3,948.87

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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.