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Finding the Fourth Proportional to 5,736.23, 7,915.03 and 3,378.84

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Solution

The fourth proportional to 5,736.23, 7,915.03 and 3,378.84 is: 4,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.23 : 7,915.03 = 3,378.84 : x
  2. Step 2: Convert to fraction form
    5,736.23/7,915.03 = 3,378.84/x
  3. Step 3: Cross multiply
    5,736.23x = 7,915.03 × 3,378.84
  4. Step 4: Simplify right side
    5,736.23x = 26,743,619.97
  5. Step 5: Solve for x
    x = 26,743,619.97/5,736.23
  6. Step 6: Final answer
    x = 4,662.23

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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.