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Finding the Fourth Proportional to 4,191.87, 5,786.07 and 2,699.78

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Solution

The fourth proportional to 4,191.87, 5,786.07 and 2,699.78 is: 3,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.87 : 5,786.07 = 2,699.78 : x
  2. Step 2: Convert to fraction form
    4,191.87/5,786.07 = 2,699.78/x
  3. Step 3: Cross multiply
    4,191.87x = 5,786.07 × 2,699.78
  4. Step 4: Simplify right side
    4,191.87x = 15,621,109.56
  5. Step 5: Solve for x
    x = 15,621,109.56/4,191.87
  6. Step 6: Final answer
    x = 3,726.53

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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.