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Finding the Fourth Proportional to 4,869.24, 6,705.90 and 3,982.20

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Solution

The fourth proportional to 4,869.24, 6,705.90 and 3,982.20 is: 5,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.24 : 6,705.90 = 3,982.20 : x
  2. Step 2: Convert to fraction form
    4,869.24/6,705.90 = 3,982.20/x
  3. Step 3: Cross multiply
    4,869.24x = 6,705.90 × 3,982.20
  4. Step 4: Simplify right side
    4,869.24x = 26,704,234.98
  5. Step 5: Solve for x
    x = 26,704,234.98/4,869.24
  6. Step 6: Final answer
    x = 5,484.27

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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.