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Finding the Fourth Proportional to 3,224.94, 4,835.90 and 1,891.14

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Solution

The fourth proportional to 3,224.94, 4,835.90 and 1,891.14 is: 2,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.94 : 4,835.90 = 1,891.14 : x
  2. Step 2: Convert to fraction form
    3,224.94/4,835.90 = 1,891.14/x
  3. Step 3: Cross multiply
    3,224.94x = 4,835.90 × 1,891.14
  4. Step 4: Simplify right side
    3,224.94x = 9,145,363.93
  5. Step 5: Solve for x
    x = 9,145,363.93/3,224.94
  6. Step 6: Final answer
    x = 2,835.82

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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.