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Finding the Fourth Proportional to 5,736.16, 7,915.80 and 3,218.28

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Solution

The fourth proportional to 5,736.16, 7,915.80 and 3,218.28 is: 4,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.16 : 7,915.80 = 3,218.28 : x
  2. Step 2: Convert to fraction form
    5,736.16/7,915.80 = 3,218.28/x
  3. Step 3: Cross multiply
    5,736.16x = 7,915.80 × 3,218.28
  4. Step 4: Simplify right side
    5,736.16x = 25,475,260.82
  5. Step 5: Solve for x
    x = 25,475,260.82/5,736.16
  6. Step 6: Final answer
    x = 4,441.17

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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.