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Finding the Fourth Proportional to 5,735.53, 7,916.30 and 3,639.25

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Solution

The fourth proportional to 5,735.53, 7,916.30 and 3,639.25 is: 5,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.53 : 7,916.30 = 3,639.25 : x
  2. Step 2: Convert to fraction form
    5,735.53/7,916.30 = 3,639.25/x
  3. Step 3: Cross multiply
    5,735.53x = 7,916.30 × 3,639.25
  4. Step 4: Simplify right side
    5,735.53x = 28,809,394.78
  5. Step 5: Solve for x
    x = 28,809,394.78/5,735.53
  6. Step 6: Final answer
    x = 5,022.97

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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.