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Finding the Fourth Proportional to 4,731.92, 6,523.22 and 3,311.21

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Solution

The fourth proportional to 4,731.92, 6,523.22 and 3,311.21 is: 4,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.92 : 6,523.22 = 3,311.21 : x
  2. Step 2: Convert to fraction form
    4,731.92/6,523.22 = 3,311.21/x
  3. Step 3: Cross multiply
    4,731.92x = 6,523.22 × 3,311.21
  4. Step 4: Simplify right side
    4,731.92x = 21,599,702.12
  5. Step 5: Solve for x
    x = 21,599,702.12/4,731.92
  6. Step 6: Final answer
    x = 4,564.69

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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.