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Finding the Fourth Proportional to 3,690.64, 5,536.50 and 1,093.24

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Solution

The fourth proportional to 3,690.64, 5,536.50 and 1,093.24 is: 1,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.64 : 5,536.50 = 1,093.24 : x
  2. Step 2: Convert to fraction form
    3,690.64/5,536.50 = 1,093.24/x
  3. Step 3: Cross multiply
    3,690.64x = 5,536.50 × 1,093.24
  4. Step 4: Simplify right side
    3,690.64x = 6,052,723.26
  5. Step 5: Solve for x
    x = 6,052,723.26/3,690.64
  6. Step 6: Final answer
    x = 1,640.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.