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Finding the Fourth Proportional to 3,799.35, 5,701 and 2,874.64

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Solution

The fourth proportional to 3,799.35, 5,701 and 2,874.64 is: 4,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.35 : 5,701 = 2,874.64 : x
  2. Step 2: Convert to fraction form
    3,799.35/5,701 = 2,874.64/x
  3. Step 3: Cross multiply
    3,799.35x = 5,701 × 2,874.64
  4. Step 4: Simplify right side
    3,799.35x = 16,388,294.14
  5. Step 5: Solve for x
    x = 16,388,294.14/3,799.35
  6. Step 6: Final answer
    x = 4,313.45

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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.