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Finding the Fourth Proportional to 3,690.63, 5,093.15 and 2,118.69

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Solution

The fourth proportional to 3,690.63, 5,093.15 and 2,118.69 is: 2,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.63 : 5,093.15 = 2,118.69 : x
  2. Step 2: Convert to fraction form
    3,690.63/5,093.15 = 2,118.69/x
  3. Step 3: Cross multiply
    3,690.63x = 5,093.15 × 2,118.69
  4. Step 4: Simplify right side
    3,690.63x = 10,790,795.38
  5. Step 5: Solve for x
    x = 10,790,795.38/3,690.63
  6. Step 6: Final answer
    x = 2,923.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.