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Finding the Fourth Proportional to 3,434.40, 5,126.40 and 2,996.64

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Solution

The fourth proportional to 3,434.40, 5,126.40 and 2,996.64 is: 4,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.40 : 5,126.40 = 2,996.64 : x
  2. Step 2: Convert to fraction form
    3,434.40/5,126.40 = 2,996.64/x
  3. Step 3: Cross multiply
    3,434.40x = 5,126.40 × 2,996.64
  4. Step 4: Simplify right side
    3,434.40x = 15,361,975.30
  5. Step 5: Solve for x
    x = 15,361,975.30/3,434.40
  6. Step 6: Final answer
    x = 4,472.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.