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Finding the Fourth Proportional to 5,736.69, 7,916.28 and 3,218.33

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Solution

The fourth proportional to 5,736.69, 7,916.28 and 3,218.33 is: 4,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.69 : 7,916.28 = 3,218.33 : x
  2. Step 2: Convert to fraction form
    5,736.69/7,916.28 = 3,218.33/x
  3. Step 3: Cross multiply
    5,736.69x = 7,916.28 × 3,218.33
  4. Step 4: Simplify right side
    5,736.69x = 25,477,209.13
  5. Step 5: Solve for x
    x = 25,477,209.13/5,736.69
  6. Step 6: Final answer
    x = 4,441.10

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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.