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Finding the Fourth Proportional to 3,365.88, 4,646.99 and 2,171.44

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Solution

The fourth proportional to 3,365.88, 4,646.99 and 2,171.44 is: 2,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.88 : 4,646.99 = 2,171.44 : x
  2. Step 2: Convert to fraction form
    3,365.88/4,646.99 = 2,171.44/x
  3. Step 3: Cross multiply
    3,365.88x = 4,646.99 × 2,171.44
  4. Step 4: Simplify right side
    3,365.88x = 10,090,659.97
  5. Step 5: Solve for x
    x = 10,090,659.97/3,365.88
  6. Step 6: Final answer
    x = 2,997.93

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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.