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Finding the Fourth Proportional to 5,297.34, 7,311.76 and 3,306.70

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Solution

The fourth proportional to 5,297.34, 7,311.76 and 3,306.70 is: 4,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.34 : 7,311.76 = 3,306.70 : x
  2. Step 2: Convert to fraction form
    5,297.34/7,311.76 = 3,306.70/x
  3. Step 3: Cross multiply
    5,297.34x = 7,311.76 × 3,306.70
  4. Step 4: Simplify right side
    5,297.34x = 24,177,770.25
  5. Step 5: Solve for x
    x = 24,177,770.25/5,297.34
  6. Step 6: Final answer
    x = 4,564.13

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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.