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Finding the Fourth Proportional to 5,735.62, 7,907.75 and 3,847.51

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Solution

The fourth proportional to 5,735.62, 7,907.75 and 3,847.51 is: 5,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.62 : 7,907.75 = 3,847.51 : x
  2. Step 2: Convert to fraction form
    5,735.62/7,907.75 = 3,847.51/x
  3. Step 3: Cross multiply
    5,735.62x = 7,907.75 × 3,847.51
  4. Step 4: Simplify right side
    5,735.62x = 30,425,147.20
  5. Step 5: Solve for x
    x = 30,425,147.20/5,735.62
  6. Step 6: Final answer
    x = 5,304.60

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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.