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Finding the Fourth Proportional to 5,049.50, 6,968.34 and 2,841.50

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Solution

The fourth proportional to 5,049.50, 6,968.34 and 2,841.50 is: 3,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.50 : 6,968.34 = 2,841.50 : x
  2. Step 2: Convert to fraction form
    5,049.50/6,968.34 = 2,841.50/x
  3. Step 3: Cross multiply
    5,049.50x = 6,968.34 × 2,841.50
  4. Step 4: Simplify right side
    5,049.50x = 19,800,538.11
  5. Step 5: Solve for x
    x = 19,800,538.11/5,049.50
  6. Step 6: Final answer
    x = 3,921.29

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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.