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Finding the Fourth Proportional to 6,149.82, 8,486.46 and 3,496.94

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Solution

The fourth proportional to 6,149.82, 8,486.46 and 3,496.94 is: 4,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.82 : 8,486.46 = 3,496.94 : x
  2. Step 2: Convert to fraction form
    6,149.82/8,486.46 = 3,496.94/x
  3. Step 3: Cross multiply
    6,149.82x = 8,486.46 × 3,496.94
  4. Step 4: Simplify right side
    6,149.82x = 29,676,599.00
  5. Step 5: Solve for x
    x = 29,676,599.00/6,149.82
  6. Step 6: Final answer
    x = 4,825.60

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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.