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Finding the Fourth Proportional to 3,331.94, 4,997.91 and 866.75

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Solution

The fourth proportional to 3,331.94, 4,997.91 and 866.75 is: 1,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.94 : 4,997.91 = 866.75 : x
  2. Step 2: Convert to fraction form
    3,331.94/4,997.91 = 866.75/x
  3. Step 3: Cross multiply
    3,331.94x = 4,997.91 × 866.75
  4. Step 4: Simplify right side
    3,331.94x = 4,331,951.03
  5. Step 5: Solve for x
    x = 4,331,951.03/3,331.94
  6. Step 6: Final answer
    x = 1,300.13

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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.