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Finding the Fourth Proportional to 5,989.70, 8,266.50 and 3,601

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Solution

The fourth proportional to 5,989.70, 8,266.50 and 3,601 is: 4,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.70 : 8,266.50 = 3,601 : x
  2. Step 2: Convert to fraction form
    5,989.70/8,266.50 = 3,601/x
  3. Step 3: Cross multiply
    5,989.70x = 8,266.50 × 3,601
  4. Step 4: Simplify right side
    5,989.70x = 29,767,666.50
  5. Step 5: Solve for x
    x = 29,767,666.50/5,989.70
  6. Step 6: Final answer
    x = 4,969.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.