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Finding the Fourth Proportional to 6,447.38, 8,899.41 and 3,654.74

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Solution

The fourth proportional to 6,447.38, 8,899.41 and 3,654.74 is: 5,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.38 : 8,899.41 = 3,654.74 : x
  2. Step 2: Convert to fraction form
    6,447.38/8,899.41 = 3,654.74/x
  3. Step 3: Cross multiply
    6,447.38x = 8,899.41 × 3,654.74
  4. Step 4: Simplify right side
    6,447.38x = 32,525,029.70
  5. Step 5: Solve for x
    x = 32,525,029.70/6,447.38
  6. Step 6: Final answer
    x = 5,044.69

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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.