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Finding the Fourth Proportional to 3,820.70, 5,727.47 and 2,882.21

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Solution

The fourth proportional to 3,820.70, 5,727.47 and 2,882.21 is: 4,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.70 : 5,727.47 = 2,882.21 : x
  2. Step 2: Convert to fraction form
    3,820.70/5,727.47 = 2,882.21/x
  3. Step 3: Cross multiply
    3,820.70x = 5,727.47 × 2,882.21
  4. Step 4: Simplify right side
    3,820.70x = 16,507,728.26
  5. Step 5: Solve for x
    x = 16,507,728.26/3,820.70
  6. Step 6: Final answer
    x = 4,320.60

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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.