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Finding the Fourth Proportional to 5,889.28, 8,834.20 and 3,290.24

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Solution

The fourth proportional to 5,889.28, 8,834.20 and 3,290.24 is: 4,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.28 : 8,834.20 = 3,290.24 : x
  2. Step 2: Convert to fraction form
    5,889.28/8,834.20 = 3,290.24/x
  3. Step 3: Cross multiply
    5,889.28x = 8,834.20 × 3,290.24
  4. Step 4: Simplify right side
    5,889.28x = 29,066,638.21
  5. Step 5: Solve for x
    x = 29,066,638.21/5,889.28
  6. Step 6: Final answer
    x = 4,935.52

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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.