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Finding the Fourth Proportional to 3,617.97, 5,423.27 and 2,054.67

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Solution

The fourth proportional to 3,617.97, 5,423.27 and 2,054.67 is: 3,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.97 : 5,423.27 = 2,054.67 : x
  2. Step 2: Convert to fraction form
    3,617.97/5,423.27 = 2,054.67/x
  3. Step 3: Cross multiply
    3,617.97x = 5,423.27 × 2,054.67
  4. Step 4: Simplify right side
    3,617.97x = 11,143,019.90
  5. Step 5: Solve for x
    x = 11,143,019.90/3,617.97
  6. Step 6: Final answer
    x = 3,079.91

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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.