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Finding the Fourth Proportional to 6,508.70, 8,982.06 and 3,676.20

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Solution

The fourth proportional to 6,508.70, 8,982.06 and 3,676.20 is: 5,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.70 : 8,982.06 = 3,676.20 : x
  2. Step 2: Convert to fraction form
    6,508.70/8,982.06 = 3,676.20/x
  3. Step 3: Cross multiply
    6,508.70x = 8,982.06 × 3,676.20
  4. Step 4: Simplify right side
    6,508.70x = 33,019,848.97
  5. Step 5: Solve for x
    x = 33,019,848.97/6,508.70
  6. Step 6: Final answer
    x = 5,073.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.