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Finding the Fourth Proportional to 5,820.66, 8,730.68 and 2,122.20

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Solution

The fourth proportional to 5,820.66, 8,730.68 and 2,122.20 is: 3,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.66 : 8,730.68 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    5,820.66/8,730.68 = 2,122.20/x
  3. Step 3: Cross multiply
    5,820.66x = 8,730.68 × 2,122.20
  4. Step 4: Simplify right side
    5,820.66x = 18,528,238.49
  5. Step 5: Solve for x
    x = 18,528,238.49/5,820.66
  6. Step 6: Final answer
    x = 3,183.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.