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Finding the Fourth Proportional to 6,444.38, 8,893.24 and 3,650.42

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Solution

The fourth proportional to 6,444.38, 8,893.24 and 3,650.42 is: 5,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.38 : 8,893.24 = 3,650.42 : x
  2. Step 2: Convert to fraction form
    6,444.38/8,893.24 = 3,650.42/x
  3. Step 3: Cross multiply
    6,444.38x = 8,893.24 × 3,650.42
  4. Step 4: Simplify right side
    6,444.38x = 32,464,007.57
  5. Step 5: Solve for x
    x = 32,464,007.57/6,444.38
  6. Step 6: Final answer
    x = 5,037.57

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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.