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Finding the Fourth Proportional to 3,635.28, 5,454 and 1,787.94

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Solution

The fourth proportional to 3,635.28, 5,454 and 1,787.94 is: 2,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.28 : 5,454 = 1,787.94 : x
  2. Step 2: Convert to fraction form
    3,635.28/5,454 = 1,787.94/x
  3. Step 3: Cross multiply
    3,635.28x = 5,454 × 1,787.94
  4. Step 4: Simplify right side
    3,635.28x = 9,751,424.76
  5. Step 5: Solve for x
    x = 9,751,424.76/3,635.28
  6. Step 6: Final answer
    x = 2,682.44

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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.