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Finding the Fourth Proportional to 3,787.69, 5,680.86 and 1,154.56

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Solution

The fourth proportional to 3,787.69, 5,680.86 and 1,154.56 is: 1,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.69 : 5,680.86 = 1,154.56 : x
  2. Step 2: Convert to fraction form
    3,787.69/5,680.86 = 1,154.56/x
  3. Step 3: Cross multiply
    3,787.69x = 5,680.86 × 1,154.56
  4. Step 4: Simplify right side
    3,787.69x = 6,558,893.72
  5. Step 5: Solve for x
    x = 6,558,893.72/3,787.69
  6. Step 6: Final answer
    x = 1,731.63

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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.