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Finding the Fourth Proportional to 3,742.96, 5,165.96 and 2,171.05

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Solution

The fourth proportional to 3,742.96, 5,165.96 and 2,171.05 is: 2,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.96 : 5,165.96 = 2,171.05 : x
  2. Step 2: Convert to fraction form
    3,742.96/5,165.96 = 2,171.05/x
  3. Step 3: Cross multiply
    3,742.96x = 5,165.96 × 2,171.05
  4. Step 4: Simplify right side
    3,742.96x = 11,215,531.63
  5. Step 5: Solve for x
    x = 11,215,531.63/3,742.96
  6. Step 6: Final answer
    x = 2,996.44

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1.5x scale

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.