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Finding the Fourth Proportional to 3,685.50, 5,085.99 and 2,288.25

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Solution

The fourth proportional to 3,685.50, 5,085.99 and 2,288.25 is: 3,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.50 : 5,085.99 = 2,288.25 : x
  2. Step 2: Convert to fraction form
    3,685.50/5,085.99 = 2,288.25/x
  3. Step 3: Cross multiply
    3,685.50x = 5,085.99 × 2,288.25
  4. Step 4: Simplify right side
    3,685.50x = 11,638,016.62
  5. Step 5: Solve for x
    x = 11,638,016.62/3,685.50
  6. Step 6: Final answer
    x = 3,157.79

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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.