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Finding the Fourth Proportional to 3,787.47, 5,682.09 and 1,190.40

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Solution

The fourth proportional to 3,787.47, 5,682.09 and 1,190.40 is: 1,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.47 : 5,682.09 = 1,190.40 : x
  2. Step 2: Convert to fraction form
    3,787.47/5,682.09 = 1,190.40/x
  3. Step 3: Cross multiply
    3,787.47x = 5,682.09 × 1,190.40
  4. Step 4: Simplify right side
    3,787.47x = 6,763,959.94
  5. Step 5: Solve for x
    x = 6,763,959.94/3,787.47
  6. Step 6: Final answer
    x = 1,785.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.