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Finding the Fourth Proportional to 5,798, 7,997.70 and 3,438.56

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Solution

The fourth proportional to 5,798, 7,997.70 and 3,438.56 is: 4,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 7,997.70 = 3,438.56 : x
  2. Step 2: Convert to fraction form
    5,798/7,997.70 = 3,438.56/x
  3. Step 3: Cross multiply
    5,798x = 7,997.70 × 3,438.56
  4. Step 4: Simplify right side
    5,798x = 27,500,571.31
  5. Step 5: Solve for x
    x = 27,500,571.31/5,798
  6. Step 6: Final answer
    x = 4,743.11

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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.