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Finding the Fourth Proportional to 5,071.50, 6,997.95 and 2,833.20

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Solution

The fourth proportional to 5,071.50, 6,997.95 and 2,833.20 is: 3,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 6,997.95 = 2,833.20 : x
  2. Step 2: Convert to fraction form
    5,071.50/6,997.95 = 2,833.20/x
  3. Step 3: Cross multiply
    5,071.50x = 6,997.95 × 2,833.20
  4. Step 4: Simplify right side
    5,071.50x = 19,826,591.94
  5. Step 5: Solve for x
    x = 19,826,591.94/5,071.50
  6. Step 6: Final answer
    x = 3,909.41

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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.