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Finding the Fourth Proportional to 3,878.21, 5,349.42 and 2,992.47

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Solution

The fourth proportional to 3,878.21, 5,349.42 and 2,992.47 is: 4,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.21 : 5,349.42 = 2,992.47 : x
  2. Step 2: Convert to fraction form
    3,878.21/5,349.42 = 2,992.47/x
  3. Step 3: Cross multiply
    3,878.21x = 5,349.42 × 2,992.47
  4. Step 4: Simplify right side
    3,878.21x = 16,007,978.87
  5. Step 5: Solve for x
    x = 16,007,978.87/3,878.21
  6. Step 6: Final answer
    x = 4,127.68

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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.