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Finding the Fourth Proportional to 4,046.95, 5,578.23 and 3,161.22

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Solution

The fourth proportional to 4,046.95, 5,578.23 and 3,161.22 is: 4,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.95 : 5,578.23 = 3,161.22 : x
  2. Step 2: Convert to fraction form
    4,046.95/5,578.23 = 3,161.22/x
  3. Step 3: Cross multiply
    4,046.95x = 5,578.23 × 3,161.22
  4. Step 4: Simplify right side
    4,046.95x = 17,634,012.24
  5. Step 5: Solve for x
    x = 17,634,012.24/4,046.95
  6. Step 6: Final answer
    x = 4,357.36

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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.