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Finding the Fourth Proportional to 3,329.71, 4,997.67 and 1,771.54

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Solution

The fourth proportional to 3,329.71, 4,997.67 and 1,771.54 is: 2,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.71 : 4,997.67 = 1,771.54 : x
  2. Step 2: Convert to fraction form
    3,329.71/4,997.67 = 1,771.54/x
  3. Step 3: Cross multiply
    3,329.71x = 4,997.67 × 1,771.54
  4. Step 4: Simplify right side
    3,329.71x = 8,853,572.31
  5. Step 5: Solve for x
    x = 8,853,572.31/3,329.71
  6. Step 6: Final answer
    x = 2,658.96

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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.