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Finding the Fourth Proportional to 3,522.43, 4,860.16 and 2,105.88

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Solution

The fourth proportional to 3,522.43, 4,860.16 and 2,105.88 is: 2,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.43 : 4,860.16 = 2,105.88 : x
  2. Step 2: Convert to fraction form
    3,522.43/4,860.16 = 2,105.88/x
  3. Step 3: Cross multiply
    3,522.43x = 4,860.16 × 2,105.88
  4. Step 4: Simplify right side
    3,522.43x = 10,234,917.59
  5. Step 5: Solve for x
    x = 10,234,917.59/3,522.43
  6. Step 6: Final answer
    x = 2,905.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.