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Finding the Fourth Proportional to 3,186.50, 4,395.47 and 2,005.52

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Solution

The fourth proportional to 3,186.50, 4,395.47 and 2,005.52 is: 2,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.50 : 4,395.47 = 2,005.52 : x
  2. Step 2: Convert to fraction form
    3,186.50/4,395.47 = 2,005.52/x
  3. Step 3: Cross multiply
    3,186.50x = 4,395.47 × 2,005.52
  4. Step 4: Simplify right side
    3,186.50x = 8,815,192.97
  5. Step 5: Solve for x
    x = 8,815,192.97/3,186.50
  6. Step 6: Final answer
    x = 2,766.42

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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.