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Finding the Fourth Proportional to 3,742.96, 5,165.04 and 2,250.60

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Solution

The fourth proportional to 3,742.96, 5,165.04 and 2,250.60 is: 3,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.96 : 5,165.04 = 2,250.60 : x
  2. Step 2: Convert to fraction form
    3,742.96/5,165.04 = 2,250.60/x
  3. Step 3: Cross multiply
    3,742.96x = 5,165.04 × 2,250.60
  4. Step 4: Simplify right side
    3,742.96x = 11,624,439.02
  5. Step 5: Solve for x
    x = 11,624,439.02/3,742.96
  6. Step 6: Final answer
    x = 3,105.68

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Why These Related Problems?

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