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Finding the Fourth Proportional to 3,787.76, 5,678 and 1,190.10

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Solution

The fourth proportional to 3,787.76, 5,678 and 1,190.10 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.76 : 5,678 = 1,190.10 : x
  2. Step 2: Convert to fraction form
    3,787.76/5,678 = 1,190.10/x
  3. Step 3: Cross multiply
    3,787.76x = 5,678 × 1,190.10
  4. Step 4: Simplify right side
    3,787.76x = 6,757,387.80
  5. Step 5: Solve for x
    x = 6,757,387.80/3,787.76
  6. Step 6: Final answer
    x = 1,784.01

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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.