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Finding the Fourth Proportional to 5,494.85, 8,246.71 and 2,863.16

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Solution

The fourth proportional to 5,494.85, 8,246.71 and 2,863.16 is: 4,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.85 : 8,246.71 = 2,863.16 : x
  2. Step 2: Convert to fraction form
    5,494.85/8,246.71 = 2,863.16/x
  3. Step 3: Cross multiply
    5,494.85x = 8,246.71 × 2,863.16
  4. Step 4: Simplify right side
    5,494.85x = 23,611,663.66
  5. Step 5: Solve for x
    x = 23,611,663.66/5,494.85
  6. Step 6: Final answer
    x = 4,297.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.