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Finding the Fourth Proportional to 5,264.62, 7,264.46 and 2,996.01

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Solution

The fourth proportional to 5,264.62, 7,264.46 and 2,996.01 is: 4,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.62 : 7,264.46 = 2,996.01 : x
  2. Step 2: Convert to fraction form
    5,264.62/7,264.46 = 2,996.01/x
  3. Step 3: Cross multiply
    5,264.62x = 7,264.46 × 2,996.01
  4. Step 4: Simplify right side
    5,264.62x = 21,764,394.80
  5. Step 5: Solve for x
    x = 21,764,394.80/5,264.62
  6. Step 6: Final answer
    x = 4,134.09

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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.