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Finding the Fourth Proportional to 4,494.71, 6,743.37 and 1,861.73

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Solution

The fourth proportional to 4,494.71, 6,743.37 and 1,861.73 is: 2,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.71 : 6,743.37 = 1,861.73 : x
  2. Step 2: Convert to fraction form
    4,494.71/6,743.37 = 1,861.73/x
  3. Step 3: Cross multiply
    4,494.71x = 6,743.37 × 1,861.73
  4. Step 4: Simplify right side
    4,494.71x = 12,554,334.23
  5. Step 5: Solve for x
    x = 12,554,334.23/4,494.71
  6. Step 6: Final answer
    x = 2,793.14

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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.