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Finding the Fourth Proportional to 4,120.52, 6,184.22 and 3,861.02

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Solution

The fourth proportional to 4,120.52, 6,184.22 and 3,861.02 is: 5,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.52 : 6,184.22 = 3,861.02 : x
  2. Step 2: Convert to fraction form
    4,120.52/6,184.22 = 3,861.02/x
  3. Step 3: Cross multiply
    4,120.52x = 6,184.22 × 3,861.02
  4. Step 4: Simplify right side
    4,120.52x = 23,877,393.26
  5. Step 5: Solve for x
    x = 23,877,393.26/4,120.52
  6. Step 6: Final answer
    x = 5,794.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.