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Finding the Fourth Proportional to 6,092, 8,407.02 and 3,297.56

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Solution

The fourth proportional to 6,092, 8,407.02 and 3,297.56 is: 4,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092 : 8,407.02 = 3,297.56 : x
  2. Step 2: Convert to fraction form
    6,092/8,407.02 = 3,297.56/x
  3. Step 3: Cross multiply
    6,092x = 8,407.02 × 3,297.56
  4. Step 4: Simplify right side
    6,092x = 27,722,652.87
  5. Step 5: Solve for x
    x = 27,722,652.87/6,092
  6. Step 6: Final answer
    x = 4,550.67

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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.