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Finding the Fourth Proportional to 5,595, 8,343.06 and 5,193.24

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Solution

The fourth proportional to 5,595, 8,343.06 and 5,193.24 is: 7,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595 : 8,343.06 = 5,193.24 : x
  2. Step 2: Convert to fraction form
    5,595/8,343.06 = 5,193.24/x
  3. Step 3: Cross multiply
    5,595x = 8,343.06 × 5,193.24
  4. Step 4: Simplify right side
    5,595x = 43,327,512.91
  5. Step 5: Solve for x
    x = 43,327,512.91/5,595
  6. Step 6: Final answer
    x = 7,743.97

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Why These Related Problems?

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