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Finding the Fourth Proportional to 6,517.17, 8,992.58 and 3,684.20

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Solution

The fourth proportional to 6,517.17, 8,992.58 and 3,684.20 is: 5,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.17 : 8,992.58 = 3,684.20 : x
  2. Step 2: Convert to fraction form
    6,517.17/8,992.58 = 3,684.20/x
  3. Step 3: Cross multiply
    6,517.17x = 8,992.58 × 3,684.20
  4. Step 4: Simplify right side
    6,517.17x = 33,130,399.85
  5. Step 5: Solve for x
    x = 33,130,399.85/6,517.17
  6. Step 6: Final answer
    x = 5,083.56

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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.