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Finding the Fourth Proportional to 5,732.70, 7,911.59 and 3,375.30

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Solution

The fourth proportional to 5,732.70, 7,911.59 and 3,375.30 is: 4,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.70 : 7,911.59 = 3,375.30 : x
  2. Step 2: Convert to fraction form
    5,732.70/7,911.59 = 3,375.30/x
  3. Step 3: Cross multiply
    5,732.70x = 7,911.59 × 3,375.30
  4. Step 4: Simplify right side
    5,732.70x = 26,703,972.85
  5. Step 5: Solve for x
    x = 26,703,972.85/5,732.70
  6. Step 6: Final answer
    x = 4,658.18

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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.