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Finding the Fourth Proportional to 3,464.92, 5,199 and 2,005.30

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Solution

The fourth proportional to 3,464.92, 5,199 and 2,005.30 is: 3,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.92 : 5,199 = 2,005.30 : x
  2. Step 2: Convert to fraction form
    3,464.92/5,199 = 2,005.30/x
  3. Step 3: Cross multiply
    3,464.92x = 5,199 × 2,005.30
  4. Step 4: Simplify right side
    3,464.92x = 10,425,554.70
  5. Step 5: Solve for x
    x = 10,425,554.70/3,464.92
  6. Step 6: Final answer
    x = 3,008.89

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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.