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Finding the Fourth Proportional to 5,296.88, 7,311.14 and 3,306.26

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Solution

The fourth proportional to 5,296.88, 7,311.14 and 3,306.26 is: 4,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.88 : 7,311.14 = 3,306.26 : x
  2. Step 2: Convert to fraction form
    5,296.88/7,311.14 = 3,306.26/x
  3. Step 3: Cross multiply
    5,296.88x = 7,311.14 × 3,306.26
  4. Step 4: Simplify right side
    5,296.88x = 24,172,529.74
  5. Step 5: Solve for x
    x = 24,172,529.74/5,296.88
  6. Step 6: Final answer
    x = 4,563.54

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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.