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Finding the Fourth Proportional to 3,800.36, 5,703.78 and 1,723.52

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Solution

The fourth proportional to 3,800.36, 5,703.78 and 1,723.52 is: 2,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.36 : 5,703.78 = 1,723.52 : x
  2. Step 2: Convert to fraction form
    3,800.36/5,703.78 = 1,723.52/x
  3. Step 3: Cross multiply
    3,800.36x = 5,703.78 × 1,723.52
  4. Step 4: Simplify right side
    3,800.36x = 9,830,578.91
  5. Step 5: Solve for x
    x = 9,830,578.91/3,800.36
  6. Step 6: Final answer
    x = 2,586.75

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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.