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Finding the Fourth Proportional to 3,626.86, 5,435.20 and 1,544.04

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Solution

The fourth proportional to 3,626.86, 5,435.20 and 1,544.04 is: 2,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.86 : 5,435.20 = 1,544.04 : x
  2. Step 2: Convert to fraction form
    3,626.86/5,435.20 = 1,544.04/x
  3. Step 3: Cross multiply
    3,626.86x = 5,435.20 × 1,544.04
  4. Step 4: Simplify right side
    3,626.86x = 8,392,158.49
  5. Step 5: Solve for x
    x = 8,392,158.49/3,626.86
  6. Step 6: Final answer
    x = 2,313.89

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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.