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Finding the Fourth Proportional to 5,568.68, 8,353.10 and 1,820.44

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Solution

The fourth proportional to 5,568.68, 8,353.10 and 1,820.44 is: 2,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.68 : 8,353.10 = 1,820.44 : x
  2. Step 2: Convert to fraction form
    5,568.68/8,353.10 = 1,820.44/x
  3. Step 3: Cross multiply
    5,568.68x = 8,353.10 × 1,820.44
  4. Step 4: Simplify right side
    5,568.68x = 15,206,317.36
  5. Step 5: Solve for x
    x = 15,206,317.36/5,568.68
  6. Step 6: Final answer
    x = 2,730.69

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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.