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Finding the Fourth Proportional to 6,047.46, 8,342.34 and 3,805.11

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Solution

The fourth proportional to 6,047.46, 8,342.34 and 3,805.11 is: 5,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.46 : 8,342.34 = 3,805.11 : x
  2. Step 2: Convert to fraction form
    6,047.46/8,342.34 = 3,805.11/x
  3. Step 3: Cross multiply
    6,047.46x = 8,342.34 × 3,805.11
  4. Step 4: Simplify right side
    6,047.46x = 31,743,521.36
  5. Step 5: Solve for x
    x = 31,743,521.36/6,047.46
  6. Step 6: Final answer
    x = 5,249.07

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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.