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Finding the Fourth Proportional to 3,416.84, 5,118.78 and 2,027.24

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Solution

The fourth proportional to 3,416.84, 5,118.78 and 2,027.24 is: 3,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.84 : 5,118.78 = 2,027.24 : x
  2. Step 2: Convert to fraction form
    3,416.84/5,118.78 = 2,027.24/x
  3. Step 3: Cross multiply
    3,416.84x = 5,118.78 × 2,027.24
  4. Step 4: Simplify right side
    3,416.84x = 10,376,995.57
  5. Step 5: Solve for x
    x = 10,376,995.57/3,416.84
  6. Step 6: Final answer
    x = 3,037.02

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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.