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Finding the Fourth Proportional to 3,823.40, 5,727.32 and 3,504.47

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Solution

The fourth proportional to 3,823.40, 5,727.32 and 3,504.47 is: 5,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.40 : 5,727.32 = 3,504.47 : x
  2. Step 2: Convert to fraction form
    3,823.40/5,727.32 = 3,504.47/x
  3. Step 3: Cross multiply
    3,823.40x = 5,727.32 × 3,504.47
  4. Step 4: Simplify right side
    3,823.40x = 20,071,174.96
  5. Step 5: Solve for x
    x = 20,071,174.96/3,823.40
  6. Step 6: Final answer
    x = 5,249.56

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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.