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Finding the Fourth Proportional to 3,538.68, 5,309.41 and 1,073.76

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Solution

The fourth proportional to 3,538.68, 5,309.41 and 1,073.76 is: 1,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.68 : 5,309.41 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    3,538.68/5,309.41 = 1,073.76/x
  3. Step 3: Cross multiply
    3,538.68x = 5,309.41 × 1,073.76
  4. Step 4: Simplify right side
    3,538.68x = 5,701,032.08
  5. Step 5: Solve for x
    x = 5,701,032.08/3,538.68
  6. Step 6: Final answer
    x = 1,611.06

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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.