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Finding the Fourth Proportional to 4,196.66, 5,791.84 and 2,625.26

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Solution

The fourth proportional to 4,196.66, 5,791.84 and 2,625.26 is: 3,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.66 : 5,791.84 = 2,625.26 : x
  2. Step 2: Convert to fraction form
    4,196.66/5,791.84 = 2,625.26/x
  3. Step 3: Cross multiply
    4,196.66x = 5,791.84 × 2,625.26
  4. Step 4: Simplify right side
    4,196.66x = 15,205,050.36
  5. Step 5: Solve for x
    x = 15,205,050.36/4,196.66
  6. Step 6: Final answer
    x = 3,623.14

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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.