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Finding the Fourth Proportional to 6,102.82, 8,422.30 and 3,449.26

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Solution

The fourth proportional to 6,102.82, 8,422.30 and 3,449.26 is: 4,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.82 : 8,422.30 = 3,449.26 : x
  2. Step 2: Convert to fraction form
    6,102.82/8,422.30 = 3,449.26/x
  3. Step 3: Cross multiply
    6,102.82x = 8,422.30 × 3,449.26
  4. Step 4: Simplify right side
    6,102.82x = 29,050,702.50
  5. Step 5: Solve for x
    x = 29,050,702.50/6,102.82
  6. Step 6: Final answer
    x = 4,760.21

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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.