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Finding the Fourth Proportional to 3,690.65, 5,536.04 and 1,093.65

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Solution

The fourth proportional to 3,690.65, 5,536.04 and 1,093.65 is: 1,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.65 : 5,536.04 = 1,093.65 : x
  2. Step 2: Convert to fraction form
    3,690.65/5,536.04 = 1,093.65/x
  3. Step 3: Cross multiply
    3,690.65x = 5,536.04 × 1,093.65
  4. Step 4: Simplify right side
    3,690.65x = 6,054,484.68
  5. Step 5: Solve for x
    x = 6,054,484.68/3,690.65
  6. Step 6: Final answer
    x = 1,640.50

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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.