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Finding the Fourth Proportional to 4,346.38, 5,997.90 and 2,644.25

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Solution

The fourth proportional to 4,346.38, 5,997.90 and 2,644.25 is: 3,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.38 : 5,997.90 = 2,644.25 : x
  2. Step 2: Convert to fraction form
    4,346.38/5,997.90 = 2,644.25/x
  3. Step 3: Cross multiply
    4,346.38x = 5,997.90 × 2,644.25
  4. Step 4: Simplify right side
    4,346.38x = 15,859,952.15
  5. Step 5: Solve for x
    x = 15,859,952.15/4,346.38
  6. Step 6: Final answer
    x = 3,649.00

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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.