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Finding the Fourth Proportional to 3,800.39, 5,251.77 and 2,741.63

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Solution

The fourth proportional to 3,800.39, 5,251.77 and 2,741.63 is: 3,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.39 : 5,251.77 = 2,741.63 : x
  2. Step 2: Convert to fraction form
    3,800.39/5,251.77 = 2,741.63/x
  3. Step 3: Cross multiply
    3,800.39x = 5,251.77 × 2,741.63
  4. Step 4: Simplify right side
    3,800.39x = 14,398,383.93
  5. Step 5: Solve for x
    x = 14,398,383.93/3,800.39
  6. Step 6: Final answer
    x = 3,788.66

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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.