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Finding the Fourth Proportional to 4,873.57, 7,310.42 and 1,586.68

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Solution

The fourth proportional to 4,873.57, 7,310.42 and 1,586.68 is: 2,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.57 : 7,310.42 = 1,586.68 : x
  2. Step 2: Convert to fraction form
    4,873.57/7,310.42 = 1,586.68/x
  3. Step 3: Cross multiply
    4,873.57x = 7,310.42 × 1,586.68
  4. Step 4: Simplify right side
    4,873.57x = 11,599,297.21
  5. Step 5: Solve for x
    x = 11,599,297.21/4,873.57
  6. Step 6: Final answer
    x = 2,380.04

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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.