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Finding the Fourth Proportional to 4,191.69, 6,287.55 and 1,993.77

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Solution

The fourth proportional to 4,191.69, 6,287.55 and 1,993.77 is: 2,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.69 : 6,287.55 = 1,993.77 : x
  2. Step 2: Convert to fraction form
    4,191.69/6,287.55 = 1,993.77/x
  3. Step 3: Cross multiply
    4,191.69x = 6,287.55 × 1,993.77
  4. Step 4: Simplify right side
    4,191.69x = 12,535,928.56
  5. Step 5: Solve for x
    x = 12,535,928.56/4,191.69
  6. Step 6: Final answer
    x = 2,990.66

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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.