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Finding the Fourth Proportional to 3,910.58, 5,851.28 and 3,866.84

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Solution

The fourth proportional to 3,910.58, 5,851.28 and 3,866.84 is: 5,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.58 : 5,851.28 = 3,866.84 : x
  2. Step 2: Convert to fraction form
    3,910.58/5,851.28 = 3,866.84/x
  3. Step 3: Cross multiply
    3,910.58x = 5,851.28 × 3,866.84
  4. Step 4: Simplify right side
    3,910.58x = 22,625,943.97
  5. Step 5: Solve for x
    x = 22,625,943.97/3,910.58
  6. Step 6: Final answer
    x = 5,785.84

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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.