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Finding the Fourth Proportional to 3,754.07, 5,626.49 and 2,107.16

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Solution

The fourth proportional to 3,754.07, 5,626.49 and 2,107.16 is: 3,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.07 : 5,626.49 = 2,107.16 : x
  2. Step 2: Convert to fraction form
    3,754.07/5,626.49 = 2,107.16/x
  3. Step 3: Cross multiply
    3,754.07x = 5,626.49 × 2,107.16
  4. Step 4: Simplify right side
    3,754.07x = 11,855,914.67
  5. Step 5: Solve for x
    x = 11,855,914.67/3,754.07
  6. Step 6: Final answer
    x = 3,158.15

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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.