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Finding the Fourth Proportional to 3,690.96, 5,535.50 and 1,093.29

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Solution

The fourth proportional to 3,690.96, 5,535.50 and 1,093.29 is: 1,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.96 : 5,535.50 = 1,093.29 : x
  2. Step 2: Convert to fraction form
    3,690.96/5,535.50 = 1,093.29/x
  3. Step 3: Cross multiply
    3,690.96x = 5,535.50 × 1,093.29
  4. Step 4: Simplify right side
    3,690.96x = 6,051,917.90
  5. Step 5: Solve for x
    x = 6,051,917.90/3,690.96
  6. Step 6: Final answer
    x = 1,639.66

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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.