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Finding the Fourth Proportional to 4,331.68, 5,976.84 and 2,563.54

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Solution

The fourth proportional to 4,331.68, 5,976.84 and 2,563.54 is: 3,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.68 : 5,976.84 = 2,563.54 : x
  2. Step 2: Convert to fraction form
    4,331.68/5,976.84 = 2,563.54/x
  3. Step 3: Cross multiply
    4,331.68x = 5,976.84 × 2,563.54
  4. Step 4: Simplify right side
    4,331.68x = 15,321,868.41
  5. Step 5: Solve for x
    x = 15,321,868.41/4,331.68
  6. Step 6: Final answer
    x = 3,537.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.