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Finding the Fourth Proportional to 4,863.65, 7,297.85 and 3,014.26

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Solution

The fourth proportional to 4,863.65, 7,297.85 and 3,014.26 is: 4,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.65 : 7,297.85 = 3,014.26 : x
  2. Step 2: Convert to fraction form
    4,863.65/7,297.85 = 3,014.26/x
  3. Step 3: Cross multiply
    4,863.65x = 7,297.85 × 3,014.26
  4. Step 4: Simplify right side
    4,863.65x = 21,997,630.73
  5. Step 5: Solve for x
    x = 21,997,630.73/4,863.65
  6. Step 6: Final answer
    x = 4,522.87

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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.