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Finding the Fourth Proportional to 3,854.64, 5,767.75 and 2,725.57

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Solution

The fourth proportional to 3,854.64, 5,767.75 and 2,725.57 is: 4,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.64 : 5,767.75 = 2,725.57 : x
  2. Step 2: Convert to fraction form
    3,854.64/5,767.75 = 2,725.57/x
  3. Step 3: Cross multiply
    3,854.64x = 5,767.75 × 2,725.57
  4. Step 4: Simplify right side
    3,854.64x = 15,720,406.37
  5. Step 5: Solve for x
    x = 15,720,406.37/3,854.64
  6. Step 6: Final answer
    x = 4,078.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.