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Finding the Fourth Proportional to 6,361.54, 9,544.33 and 2,854.56

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Solution

The fourth proportional to 6,361.54, 9,544.33 and 2,854.56 is: 4,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.54 : 9,544.33 = 2,854.56 : x
  2. Step 2: Convert to fraction form
    6,361.54/9,544.33 = 2,854.56/x
  3. Step 3: Cross multiply
    6,361.54x = 9,544.33 × 2,854.56
  4. Step 4: Simplify right side
    6,361.54x = 27,244,862.64
  5. Step 5: Solve for x
    x = 27,244,862.64/6,361.54
  6. Step 6: Final answer
    x = 4,282.75

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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.