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Finding the Fourth Proportional to 4,093.08, 6,140.70 and 2,013

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Solution

The fourth proportional to 4,093.08, 6,140.70 and 2,013 is: 3,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.08 : 6,140.70 = 2,013 : x
  2. Step 2: Convert to fraction form
    4,093.08/6,140.70 = 2,013/x
  3. Step 3: Cross multiply
    4,093.08x = 6,140.70 × 2,013
  4. Step 4: Simplify right side
    4,093.08x = 12,361,229.10
  5. Step 5: Solve for x
    x = 12,361,229.10/4,093.08
  6. Step 6: Final answer
    x = 3,020.03

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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.