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Finding the Fourth Proportional to 4,182.46, 6,270.83 and 1,991.41

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Solution

The fourth proportional to 4,182.46, 6,270.83 and 1,991.41 is: 2,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.46 : 6,270.83 = 1,991.41 : x
  2. Step 2: Convert to fraction form
    4,182.46/6,270.83 = 1,991.41/x
  3. Step 3: Cross multiply
    4,182.46x = 6,270.83 × 1,991.41
  4. Step 4: Simplify right side
    4,182.46x = 12,487,793.57
  5. Step 5: Solve for x
    x = 12,487,793.57/4,182.46
  6. Step 6: Final answer
    x = 2,985.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.