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Finding the Fourth Proportional to 3,787.26, 5,674.62 and 2,306.88

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Solution

The fourth proportional to 3,787.26, 5,674.62 and 2,306.88 is: 3,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.26 : 5,674.62 = 2,306.88 : x
  2. Step 2: Convert to fraction form
    3,787.26/5,674.62 = 2,306.88/x
  3. Step 3: Cross multiply
    3,787.26x = 5,674.62 × 2,306.88
  4. Step 4: Simplify right side
    3,787.26x = 13,090,667.39
  5. Step 5: Solve for x
    x = 13,090,667.39/3,787.26
  6. Step 6: Final answer
    x = 3,456.50

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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.