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Finding the Fourth Proportional to 3,996.60, 6,000.30 and 3,175.80

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Solution

The fourth proportional to 3,996.60, 6,000.30 and 3,175.80 is: 4,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.60 : 6,000.30 = 3,175.80 : x
  2. Step 2: Convert to fraction form
    3,996.60/6,000.30 = 3,175.80/x
  3. Step 3: Cross multiply
    3,996.60x = 6,000.30 × 3,175.80
  4. Step 4: Simplify right side
    3,996.60x = 19,055,752.74
  5. Step 5: Solve for x
    x = 19,055,752.74/3,996.60
  6. Step 6: Final answer
    x = 4,767.99

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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.