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Finding the Fourth Proportional to 3,830.39, 5,740.68 and 3,334.77

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Solution

The fourth proportional to 3,830.39, 5,740.68 and 3,334.77 is: 4,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.39 : 5,740.68 = 3,334.77 : x
  2. Step 2: Convert to fraction form
    3,830.39/5,740.68 = 3,334.77/x
  3. Step 3: Cross multiply
    3,830.39x = 5,740.68 × 3,334.77
  4. Step 4: Simplify right side
    3,830.39x = 19,143,847.44
  5. Step 5: Solve for x
    x = 19,143,847.44/3,830.39
  6. Step 6: Final answer
    x = 4,997.88

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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.