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Finding the Fourth Proportional to 3,406.68, 4,701.24 and 1,991.36

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Solution

The fourth proportional to 3,406.68, 4,701.24 and 1,991.36 is: 2,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.68 : 4,701.24 = 1,991.36 : x
  2. Step 2: Convert to fraction form
    3,406.68/4,701.24 = 1,991.36/x
  3. Step 3: Cross multiply
    3,406.68x = 4,701.24 × 1,991.36
  4. Step 4: Simplify right side
    3,406.68x = 9,361,861.29
  5. Step 5: Solve for x
    x = 9,361,861.29/3,406.68
  6. Step 6: Final answer
    x = 2,748.09

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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.