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Finding the Fourth Proportional to 6,580.44, 9,859.73 and 5,749.38

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Solution

The fourth proportional to 6,580.44, 9,859.73 and 5,749.38 is: 8,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.44 : 9,859.73 = 5,749.38 : x
  2. Step 2: Convert to fraction form
    6,580.44/9,859.73 = 5,749.38/x
  3. Step 3: Cross multiply
    6,580.44x = 9,859.73 × 5,749.38
  4. Step 4: Simplify right side
    6,580.44x = 56,687,305.72
  5. Step 5: Solve for x
    x = 56,687,305.72/6,580.44
  6. Step 6: Final answer
    x = 8,614.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.