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Finding the Fourth Proportional to 5,194.08, 7,165.08 and 3,513.24

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Solution

The fourth proportional to 5,194.08, 7,165.08 and 3,513.24 is: 4,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.08 : 7,165.08 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    5,194.08/7,165.08 = 3,513.24/x
  3. Step 3: Cross multiply
    5,194.08x = 7,165.08 × 3,513.24
  4. Step 4: Simplify right side
    5,194.08x = 25,172,645.66
  5. Step 5: Solve for x
    x = 25,172,645.66/5,194.08
  6. Step 6: Final answer
    x = 4,846.41

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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.