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Finding the Fourth Proportional to 5,628.70, 8,448.22 and 2,857.30

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Solution

The fourth proportional to 5,628.70, 8,448.22 and 2,857.30 is: 4,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.70 : 8,448.22 = 2,857.30 : x
  2. Step 2: Convert to fraction form
    5,628.70/8,448.22 = 2,857.30/x
  3. Step 3: Cross multiply
    5,628.70x = 8,448.22 × 2,857.30
  4. Step 4: Simplify right side
    5,628.70x = 24,139,099.01
  5. Step 5: Solve for x
    x = 24,139,099.01/5,628.70
  6. Step 6: Final answer
    x = 4,288.57

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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.