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Finding the Fourth Proportional to 5,060.92, 6,984.66 and 2,965

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Solution

The fourth proportional to 5,060.92, 6,984.66 and 2,965 is: 4,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.92 : 6,984.66 = 2,965 : x
  2. Step 2: Convert to fraction form
    5,060.92/6,984.66 = 2,965/x
  3. Step 3: Cross multiply
    5,060.92x = 6,984.66 × 2,965
  4. Step 4: Simplify right side
    5,060.92x = 20,709,516.90
  5. Step 5: Solve for x
    x = 20,709,516.90/5,060.92
  6. Step 6: Final answer
    x = 4,092.05

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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.