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Finding the Fourth Proportional to 3,551.46, 5,320.94 and 3,164.90

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Solution

The fourth proportional to 3,551.46, 5,320.94 and 3,164.90 is: 4,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.46 : 5,320.94 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    3,551.46/5,320.94 = 3,164.90/x
  3. Step 3: Cross multiply
    3,551.46x = 5,320.94 × 3,164.90
  4. Step 4: Simplify right side
    3,551.46x = 16,840,243.01
  5. Step 5: Solve for x
    x = 16,840,243.01/3,551.46
  6. Step 6: Final answer
    x = 4,741.78

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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.