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Finding the Fourth Proportional to 3,570.16, 4,926.82 and 1,998.26

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Solution

The fourth proportional to 3,570.16, 4,926.82 and 1,998.26 is: 2,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.16 : 4,926.82 = 1,998.26 : x
  2. Step 2: Convert to fraction form
    3,570.16/4,926.82 = 1,998.26/x
  3. Step 3: Cross multiply
    3,570.16x = 4,926.82 × 1,998.26
  4. Step 4: Simplify right side
    3,570.16x = 9,845,067.33
  5. Step 5: Solve for x
    x = 9,845,067.33/3,570.16
  6. Step 6: Final answer
    x = 2,757.60

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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.