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Finding the Fourth Proportional to 3,535.53, 5,301.93 and 1,194.91

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Solution

The fourth proportional to 3,535.53, 5,301.93 and 1,194.91 is: 1,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.53 : 5,301.93 = 1,194.91 : x
  2. Step 2: Convert to fraction form
    3,535.53/5,301.93 = 1,194.91/x
  3. Step 3: Cross multiply
    3,535.53x = 5,301.93 × 1,194.91
  4. Step 4: Simplify right side
    3,535.53x = 6,335,311.44
  5. Step 5: Solve for x
    x = 6,335,311.44/3,535.53
  6. Step 6: Final answer
    x = 1,791.90

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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.