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Finding the Fourth Proportional to 5,645.63, 7,790.78 and 3,093.38

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Solution

The fourth proportional to 5,645.63, 7,790.78 and 3,093.38 is: 4,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.63 : 7,790.78 = 3,093.38 : x
  2. Step 2: Convert to fraction form
    5,645.63/7,790.78 = 3,093.38/x
  3. Step 3: Cross multiply
    5,645.63x = 7,790.78 × 3,093.38
  4. Step 4: Simplify right side
    5,645.63x = 24,099,788.62
  5. Step 5: Solve for x
    x = 24,099,788.62/5,645.63
  6. Step 6: Final answer
    x = 4,268.75

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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.