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Finding the Fourth Proportional to 3,223.28, 4,834.76 and 1,889.82

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Solution

The fourth proportional to 3,223.28, 4,834.76 and 1,889.82 is: 2,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.28 : 4,834.76 = 1,889.82 : x
  2. Step 2: Convert to fraction form
    3,223.28/4,834.76 = 1,889.82/x
  3. Step 3: Cross multiply
    3,223.28x = 4,834.76 × 1,889.82
  4. Step 4: Simplify right side
    3,223.28x = 9,136,826.14
  5. Step 5: Solve for x
    x = 9,136,826.14/3,223.28
  6. Step 6: Final answer
    x = 2,834.64

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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.