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Finding the Fourth Proportional to 6,508.35, 8,983.62 and 4,829.22

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Solution

The fourth proportional to 6,508.35, 8,983.62 and 4,829.22 is: 6,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.35 : 8,983.62 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    6,508.35/8,983.62 = 4,829.22/x
  3. Step 3: Cross multiply
    6,508.35x = 8,983.62 × 4,829.22
  4. Step 4: Simplify right side
    6,508.35x = 43,383,877.38
  5. Step 5: Solve for x
    x = 43,383,877.38/6,508.35
  6. Step 6: Final answer
    x = 6,665.88

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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.