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Finding the Fourth Proportional to 3,787.57, 5,680.42 and 1,190.50

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Solution

The fourth proportional to 3,787.57, 5,680.42 and 1,190.50 is: 1,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.57 : 5,680.42 = 1,190.50 : x
  2. Step 2: Convert to fraction form
    3,787.57/5,680.42 = 1,190.50/x
  3. Step 3: Cross multiply
    3,787.57x = 5,680.42 × 1,190.50
  4. Step 4: Simplify right side
    3,787.57x = 6,762,540.01
  5. Step 5: Solve for x
    x = 6,762,540.01/3,787.57
  6. Step 6: Final answer
    x = 1,785.46

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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.