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Finding the Fourth Proportional to 3,864.37, 5,797.01 and 1,230.95

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Solution

The fourth proportional to 3,864.37, 5,797.01 and 1,230.95 is: 1,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.37 : 5,797.01 = 1,230.95 : x
  2. Step 2: Convert to fraction form
    3,864.37/5,797.01 = 1,230.95/x
  3. Step 3: Cross multiply
    3,864.37x = 5,797.01 × 1,230.95
  4. Step 4: Simplify right side
    3,864.37x = 7,135,823.30
  5. Step 5: Solve for x
    x = 7,135,823.30/3,864.37
  6. Step 6: Final answer
    x = 1,846.57

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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.