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Finding the Fourth Proportional to 3,857.88, 5,787.09 and 1,909.56

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Solution

The fourth proportional to 3,857.88, 5,787.09 and 1,909.56 is: 2,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.88 : 5,787.09 = 1,909.56 : x
  2. Step 2: Convert to fraction form
    3,857.88/5,787.09 = 1,909.56/x
  3. Step 3: Cross multiply
    3,857.88x = 5,787.09 × 1,909.56
  4. Step 4: Simplify right side
    3,857.88x = 11,050,795.58
  5. Step 5: Solve for x
    x = 11,050,795.58/3,857.88
  6. Step 6: Final answer
    x = 2,864.47

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1.5x scale

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.