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Finding the Fourth Proportional to 3,860.36, 5,787.84 and 1,911.32

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Solution

The fourth proportional to 3,860.36, 5,787.84 and 1,911.32 is: 2,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.36 : 5,787.84 = 1,911.32 : x
  2. Step 2: Convert to fraction form
    3,860.36/5,787.84 = 1,911.32/x
  3. Step 3: Cross multiply
    3,860.36x = 5,787.84 × 1,911.32
  4. Step 4: Simplify right side
    3,860.36x = 11,062,414.35
  5. Step 5: Solve for x
    x = 11,062,414.35/3,860.36
  6. Step 6: Final answer
    x = 2,865.64

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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.