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Finding the Fourth Proportional to 3,787.44, 5,679.66 and 1,154.12

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Solution

The fourth proportional to 3,787.44, 5,679.66 and 1,154.12 is: 1,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.44 : 5,679.66 = 1,154.12 : x
  2. Step 2: Convert to fraction form
    3,787.44/5,679.66 = 1,154.12/x
  3. Step 3: Cross multiply
    3,787.44x = 5,679.66 × 1,154.12
  4. Step 4: Simplify right side
    3,787.44x = 6,555,009.20
  5. Step 5: Solve for x
    x = 6,555,009.20/3,787.44
  6. Step 6: Final answer
    x = 1,730.72

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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.