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Finding the Fourth Proportional to 6,146.28, 8,481.84 and 3,494.20

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Solution

The fourth proportional to 6,146.28, 8,481.84 and 3,494.20 is: 4,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.28 : 8,481.84 = 3,494.20 : x
  2. Step 2: Convert to fraction form
    6,146.28/8,481.84 = 3,494.20/x
  3. Step 3: Cross multiply
    6,146.28x = 8,481.84 × 3,494.20
  4. Step 4: Simplify right side
    6,146.28x = 29,637,245.33
  5. Step 5: Solve for x
    x = 29,637,245.33/6,146.28
  6. Step 6: Final answer
    x = 4,821.98

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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.