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Finding the Fourth Proportional to 6,508.38, 8,981.82 and 3,676.35

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Solution

The fourth proportional to 6,508.38, 8,981.82 and 3,676.35 is: 5,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.38 : 8,981.82 = 3,676.35 : x
  2. Step 2: Convert to fraction form
    6,508.38/8,981.82 = 3,676.35/x
  3. Step 3: Cross multiply
    6,508.38x = 8,981.82 × 3,676.35
  4. Step 4: Simplify right side
    6,508.38x = 33,020,313.96
  5. Step 5: Solve for x
    x = 33,020,313.96/6,508.38
  6. Step 6: Final answer
    x = 5,073.51

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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.