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Finding the Fourth Proportional to 5,167.93, 7,131.77 and 3,072.07

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Solution

The fourth proportional to 5,167.93, 7,131.77 and 3,072.07 is: 4,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.93 : 7,131.77 = 3,072.07 : x
  2. Step 2: Convert to fraction form
    5,167.93/7,131.77 = 3,072.07/x
  3. Step 3: Cross multiply
    5,167.93x = 7,131.77 × 3,072.07
  4. Step 4: Simplify right side
    5,167.93x = 21,909,296.66
  5. Step 5: Solve for x
    x = 21,909,296.66/5,167.93
  6. Step 6: Final answer
    x = 4,239.47

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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.