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Finding the Fourth Proportional to 3,847.68, 5,309.82 and 2,191.68

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Solution

The fourth proportional to 3,847.68, 5,309.82 and 2,191.68 is: 3,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.68 : 5,309.82 = 2,191.68 : x
  2. Step 2: Convert to fraction form
    3,847.68/5,309.82 = 2,191.68/x
  3. Step 3: Cross multiply
    3,847.68x = 5,309.82 × 2,191.68
  4. Step 4: Simplify right side
    3,847.68x = 11,637,426.30
  5. Step 5: Solve for x
    x = 11,637,426.30/3,847.68
  6. Step 6: Final answer
    x = 3,024.53

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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.