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Finding the Fourth Proportional to 3,626.96, 5,436.64 and 1,546.48

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Solution

The fourth proportional to 3,626.96, 5,436.64 and 1,546.48 is: 2,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.96 : 5,436.64 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    3,626.96/5,436.64 = 1,546.48/x
  3. Step 3: Cross multiply
    3,626.96x = 5,436.64 × 1,546.48
  4. Step 4: Simplify right side
    3,626.96x = 8,407,655.03
  5. Step 5: Solve for x
    x = 8,407,655.03/3,626.96
  6. Step 6: Final answer
    x = 2,318.10

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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.