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Finding the Fourth Proportional to 3,982.50, 5,493.96 and 2,804.22

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Solution

The fourth proportional to 3,982.50, 5,493.96 and 2,804.22 is: 3,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.50 : 5,493.96 = 2,804.22 : x
  2. Step 2: Convert to fraction form
    3,982.50/5,493.96 = 2,804.22/x
  3. Step 3: Cross multiply
    3,982.50x = 5,493.96 × 2,804.22
  4. Step 4: Simplify right side
    3,982.50x = 15,406,272.51
  5. Step 5: Solve for x
    x = 15,406,272.51/3,982.50
  6. Step 6: Final answer
    x = 3,868.49

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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.