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Finding the Fourth Proportional to 4,999.12, 7,491 and 1,919.44

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Solution

The fourth proportional to 4,999.12, 7,491 and 1,919.44 is: 2,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.12 : 7,491 = 1,919.44 : x
  2. Step 2: Convert to fraction form
    4,999.12/7,491 = 1,919.44/x
  3. Step 3: Cross multiply
    4,999.12x = 7,491 × 1,919.44
  4. Step 4: Simplify right side
    4,999.12x = 14,378,525.04
  5. Step 5: Solve for x
    x = 14,378,525.04/4,999.12
  6. Step 6: Final answer
    x = 2,876.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.