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Finding the Fourth Proportional to 3,466.92, 5,198.74 and 2,539.46

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Solution

The fourth proportional to 3,466.92, 5,198.74 and 2,539.46 is: 3,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.92 : 5,198.74 = 2,539.46 : x
  2. Step 2: Convert to fraction form
    3,466.92/5,198.74 = 2,539.46/x
  3. Step 3: Cross multiply
    3,466.92x = 5,198.74 × 2,539.46
  4. Step 4: Simplify right side
    3,466.92x = 13,201,992.28
  5. Step 5: Solve for x
    x = 13,201,992.28/3,466.92
  6. Step 6: Final answer
    x = 3,807.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.