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Finding the Fourth Proportional to 3,742.67, 5,606.81 and 2,094.22

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Solution

The fourth proportional to 3,742.67, 5,606.81 and 2,094.22 is: 3,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.67 : 5,606.81 = 2,094.22 : x
  2. Step 2: Convert to fraction form
    3,742.67/5,606.81 = 2,094.22/x
  3. Step 3: Cross multiply
    3,742.67x = 5,606.81 × 2,094.22
  4. Step 4: Simplify right side
    3,742.67x = 11,741,869.15
  5. Step 5: Solve for x
    x = 11,741,869.15/3,742.67
  6. Step 6: Final answer
    x = 3,137.30

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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.