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Finding the Fourth Proportional to 3,800.97, 5,245.71 and 2,308.77

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Solution

The fourth proportional to 3,800.97, 5,245.71 and 2,308.77 is: 3,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.97 : 5,245.71 = 2,308.77 : x
  2. Step 2: Convert to fraction form
    3,800.97/5,245.71 = 2,308.77/x
  3. Step 3: Cross multiply
    3,800.97x = 5,245.71 × 2,308.77
  4. Step 4: Simplify right side
    3,800.97x = 12,111,137.88
  5. Step 5: Solve for x
    x = 12,111,137.88/3,800.97
  6. Step 6: Final answer
    x = 3,186.33

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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.