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Finding the Fourth Proportional to 4,525.97, 6,787.52 and 1,447.25

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Solution

The fourth proportional to 4,525.97, 6,787.52 and 1,447.25 is: 2,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.97 : 6,787.52 = 1,447.25 : x
  2. Step 2: Convert to fraction form
    4,525.97/6,787.52 = 1,447.25/x
  3. Step 3: Cross multiply
    4,525.97x = 6,787.52 × 1,447.25
  4. Step 4: Simplify right side
    4,525.97x = 9,823,231.08
  5. Step 5: Solve for x
    x = 9,823,231.08/4,525.97
  6. Step 6: Final answer
    x = 2,170.41

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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.