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Finding the Fourth Proportional to 5,354.38, 7,388.74 and 2,996.68

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Solution

The fourth proportional to 5,354.38, 7,388.74 and 2,996.68 is: 4,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.38 : 7,388.74 = 2,996.68 : x
  2. Step 2: Convert to fraction form
    5,354.38/7,388.74 = 2,996.68/x
  3. Step 3: Cross multiply
    5,354.38x = 7,388.74 × 2,996.68
  4. Step 4: Simplify right side
    5,354.38x = 22,141,689.38
  5. Step 5: Solve for x
    x = 22,141,689.38/5,354.38
  6. Step 6: Final answer
    x = 4,135.25

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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.