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Finding the Fourth Proportional to 3,873.82, 5,811.04 and 2,324.38

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Solution

The fourth proportional to 3,873.82, 5,811.04 and 2,324.38 is: 3,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.82 : 5,811.04 = 2,324.38 : x
  2. Step 2: Convert to fraction form
    3,873.82/5,811.04 = 2,324.38/x
  3. Step 3: Cross multiply
    3,873.82x = 5,811.04 × 2,324.38
  4. Step 4: Simplify right side
    3,873.82x = 13,507,065.16
  5. Step 5: Solve for x
    x = 13,507,065.16/3,873.82
  6. Step 6: Final answer
    x = 3,486.76

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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.