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Finding the Fourth Proportional to 3,839.70, 5,296.32 and 2,346.78

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Solution

The fourth proportional to 3,839.70, 5,296.32 and 2,346.78 is: 3,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.70 : 5,296.32 = 2,346.78 : x
  2. Step 2: Convert to fraction form
    3,839.70/5,296.32 = 2,346.78/x
  3. Step 3: Cross multiply
    3,839.70x = 5,296.32 × 2,346.78
  4. Step 4: Simplify right side
    3,839.70x = 12,429,297.85
  5. Step 5: Solve for x
    x = 12,429,297.85/3,839.70
  6. Step 6: Final answer
    x = 3,237.05

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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.