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Finding the Fourth Proportional to 3,889.10, 5,830.89 and 1,806.89

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Solution

The fourth proportional to 3,889.10, 5,830.89 and 1,806.89 is: 2,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.10 : 5,830.89 = 1,806.89 : x
  2. Step 2: Convert to fraction form
    3,889.10/5,830.89 = 1,806.89/x
  3. Step 3: Cross multiply
    3,889.10x = 5,830.89 × 1,806.89
  4. Step 4: Simplify right side
    3,889.10x = 10,535,747.68
  5. Step 5: Solve for x
    x = 10,535,747.68/3,889.10
  6. Step 6: Final answer
    x = 2,709.05

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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.