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Finding the Fourth Proportional to 3,846.44, 5,308.77 and 3,671.14

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Solution

The fourth proportional to 3,846.44, 5,308.77 and 3,671.14 is: 5,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.44 : 5,308.77 = 3,671.14 : x
  2. Step 2: Convert to fraction form
    3,846.44/5,308.77 = 3,671.14/x
  3. Step 3: Cross multiply
    3,846.44x = 5,308.77 × 3,671.14
  4. Step 4: Simplify right side
    3,846.44x = 19,489,248.35
  5. Step 5: Solve for x
    x = 19,489,248.35/3,846.44
  6. Step 6: Final answer
    x = 5,066.83

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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.