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Finding the Fourth Proportional to 3,626.55, 5,440.21 and 1,546.77

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Solution

The fourth proportional to 3,626.55, 5,440.21 and 1,546.77 is: 2,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.55 : 5,440.21 = 1,546.77 : x
  2. Step 2: Convert to fraction form
    3,626.55/5,440.21 = 1,546.77/x
  3. Step 3: Cross multiply
    3,626.55x = 5,440.21 × 1,546.77
  4. Step 4: Simplify right side
    3,626.55x = 8,414,763.56
  5. Step 5: Solve for x
    x = 8,414,763.56/3,626.55
  6. Step 6: Final answer
    x = 2,320.32

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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.