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Finding the Fourth Proportional to 3,438.38, 4,742.85 and 2,997.34

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Solution

The fourth proportional to 3,438.38, 4,742.85 and 2,997.34 is: 4,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.38 : 4,742.85 = 2,997.34 : x
  2. Step 2: Convert to fraction form
    3,438.38/4,742.85 = 2,997.34/x
  3. Step 3: Cross multiply
    3,438.38x = 4,742.85 × 2,997.34
  4. Step 4: Simplify right side
    3,438.38x = 14,215,933.40
  5. Step 5: Solve for x
    x = 14,215,933.40/3,438.38
  6. Step 6: Final answer
    x = 4,134.48

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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.