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Finding the Fourth Proportional to 6,119.46, 8,441.82 and 3,728.34

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Solution

The fourth proportional to 6,119.46, 8,441.82 and 3,728.34 is: 5,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.46 : 8,441.82 = 3,728.34 : x
  2. Step 2: Convert to fraction form
    6,119.46/8,441.82 = 3,728.34/x
  3. Step 3: Cross multiply
    6,119.46x = 8,441.82 × 3,728.34
  4. Step 4: Simplify right side
    6,119.46x = 31,473,975.18
  5. Step 5: Solve for x
    x = 31,473,975.18/6,119.46
  6. Step 6: Final answer
    x = 5,143.26

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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.