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Finding the Fourth Proportional to 6,146.37, 8,481.98 and 3,493.95

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Solution

The fourth proportional to 6,146.37, 8,481.98 and 3,493.95 is: 4,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.37 : 8,481.98 = 3,493.95 : x
  2. Step 2: Convert to fraction form
    6,146.37/8,481.98 = 3,493.95/x
  3. Step 3: Cross multiply
    6,146.37x = 8,481.98 × 3,493.95
  4. Step 4: Simplify right side
    6,146.37x = 29,635,590.95
  5. Step 5: Solve for x
    x = 29,635,590.95/6,146.37
  6. Step 6: Final answer
    x = 4,821.64

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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.