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Finding the Fourth Proportional to 3,984.95, 5,976.63 and 3,787.36

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Solution

The fourth proportional to 3,984.95, 5,976.63 and 3,787.36 is: 5,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.95 : 5,976.63 = 3,787.36 : x
  2. Step 2: Convert to fraction form
    3,984.95/5,976.63 = 3,787.36/x
  3. Step 3: Cross multiply
    3,984.95x = 5,976.63 × 3,787.36
  4. Step 4: Simplify right side
    3,984.95x = 22,635,649.40
  5. Step 5: Solve for x
    x = 22,635,649.40/3,984.95
  6. Step 6: Final answer
    x = 5,680.28

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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.