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Finding the Fourth Proportional to 6,005.85, 8,997.30 and 3,231.60

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Solution

The fourth proportional to 6,005.85, 8,997.30 and 3,231.60 is: 4,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.85 : 8,997.30 = 3,231.60 : x
  2. Step 2: Convert to fraction form
    6,005.85/8,997.30 = 3,231.60/x
  3. Step 3: Cross multiply
    6,005.85x = 8,997.30 × 3,231.60
  4. Step 4: Simplify right side
    6,005.85x = 29,075,674.68
  5. Step 5: Solve for x
    x = 29,075,674.68/6,005.85
  6. Step 6: Final answer
    x = 4,841.23

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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.