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Finding the Fourth Proportional to 3,864.89, 5,797.08 and 1,889.75

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Solution

The fourth proportional to 3,864.89, 5,797.08 and 1,889.75 is: 2,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.89 : 5,797.08 = 1,889.75 : x
  2. Step 2: Convert to fraction form
    3,864.89/5,797.08 = 1,889.75/x
  3. Step 3: Cross multiply
    3,864.89x = 5,797.08 × 1,889.75
  4. Step 4: Simplify right side
    3,864.89x = 10,955,002.94
  5. Step 5: Solve for x
    x = 10,955,002.94/3,864.89
  6. Step 6: Final answer
    x = 2,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.