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Finding the Fourth Proportional to 4,149.99, 5,727.38 and 2,357.87

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Solution

The fourth proportional to 4,149.99, 5,727.38 and 2,357.87 is: 3,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.99 : 5,727.38 = 2,357.87 : x
  2. Step 2: Convert to fraction form
    4,149.99/5,727.38 = 2,357.87/x
  3. Step 3: Cross multiply
    4,149.99x = 5,727.38 × 2,357.87
  4. Step 4: Simplify right side
    4,149.99x = 13,504,377.05
  5. Step 5: Solve for x
    x = 13,504,377.05/4,149.99
  6. Step 6: Final answer
    x = 3,254.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.