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Finding the Fourth Proportional to 3,468.46, 5,194.05 and 2,165.98

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Solution

The fourth proportional to 3,468.46, 5,194.05 and 2,165.98 is: 3,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.46 : 5,194.05 = 2,165.98 : x
  2. Step 2: Convert to fraction form
    3,468.46/5,194.05 = 2,165.98/x
  3. Step 3: Cross multiply
    3,468.46x = 5,194.05 × 2,165.98
  4. Step 4: Simplify right side
    3,468.46x = 11,250,208.42
  5. Step 5: Solve for x
    x = 11,250,208.42/3,468.46
  6. Step 6: Final answer
    x = 3,243.57

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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.