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Finding the Fourth Proportional to 5,185.50, 7,156.17 and 2,947.47

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Solution

The fourth proportional to 5,185.50, 7,156.17 and 2,947.47 is: 4,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.50 : 7,156.17 = 2,947.47 : x
  2. Step 2: Convert to fraction form
    5,185.50/7,156.17 = 2,947.47/x
  3. Step 3: Cross multiply
    5,185.50x = 7,156.17 × 2,947.47
  4. Step 4: Simplify right side
    5,185.50x = 21,092,596.39
  5. Step 5: Solve for x
    x = 21,092,596.39/5,185.50
  6. Step 6: Final answer
    x = 4,067.61

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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.