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Finding the Fourth Proportional to 5,586.92, 7,709.91 and 3,034.73

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Solution

The fourth proportional to 5,586.92, 7,709.91 and 3,034.73 is: 4,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.92 : 7,709.91 = 3,034.73 : x
  2. Step 2: Convert to fraction form
    5,586.92/7,709.91 = 3,034.73/x
  3. Step 3: Cross multiply
    5,586.92x = 7,709.91 × 3,034.73
  4. Step 4: Simplify right side
    5,586.92x = 23,397,514.45
  5. Step 5: Solve for x
    x = 23,397,514.45/5,586.92
  6. Step 6: Final answer
    x = 4,187.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.