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Finding the Fourth Proportional to 3,889.38, 5,834.06 and 1,153.38

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Solution

The fourth proportional to 3,889.38, 5,834.06 and 1,153.38 is: 1,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.38 : 5,834.06 = 1,153.38 : x
  2. Step 2: Convert to fraction form
    3,889.38/5,834.06 = 1,153.38/x
  3. Step 3: Cross multiply
    3,889.38x = 5,834.06 × 1,153.38
  4. Step 4: Simplify right side
    3,889.38x = 6,728,888.12
  5. Step 5: Solve for x
    x = 6,728,888.12/3,889.38
  6. Step 6: Final answer
    x = 1,730.07

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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.