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Finding the Fourth Proportional to 3,823, 5,278.10 and 2,500.36

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Solution

The fourth proportional to 3,823, 5,278.10 and 2,500.36 is: 3,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 5,278.10 = 2,500.36 : x
  2. Step 2: Convert to fraction form
    3,823/5,278.10 = 2,500.36/x
  3. Step 3: Cross multiply
    3,823x = 5,278.10 × 2,500.36
  4. Step 4: Simplify right side
    3,823x = 13,197,150.12
  5. Step 5: Solve for x
    x = 13,197,150.12/3,823
  6. Step 6: Final answer
    x = 3,452.04

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