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Finding the Fourth Proportional to 3,633.60, 5,443.64 and 3,052.37

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Solution

The fourth proportional to 3,633.60, 5,443.64 and 3,052.37 is: 4,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.60 : 5,443.64 = 3,052.37 : x
  2. Step 2: Convert to fraction form
    3,633.60/5,443.64 = 3,052.37/x
  3. Step 3: Cross multiply
    3,633.60x = 5,443.64 × 3,052.37
  4. Step 4: Simplify right side
    3,633.60x = 16,616,003.43
  5. Step 5: Solve for x
    x = 16,616,003.43/3,633.60
  6. Step 6: Final answer
    x = 4,572.88

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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.