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Finding the Fourth Proportional to 6,076.40, 8,384.42 and 3,523.24

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Solution

The fourth proportional to 6,076.40, 8,384.42 and 3,523.24 is: 4,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.40 : 8,384.42 = 3,523.24 : x
  2. Step 2: Convert to fraction form
    6,076.40/8,384.42 = 3,523.24/x
  3. Step 3: Cross multiply
    6,076.40x = 8,384.42 × 3,523.24
  4. Step 4: Simplify right side
    6,076.40x = 29,540,323.92
  5. Step 5: Solve for x
    x = 29,540,323.92/6,076.40
  6. Step 6: Final answer
    x = 4,861.48

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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.