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Finding the Fourth Proportional to 5,300.97, 7,952.78 and 3,744.02

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Solution

The fourth proportional to 5,300.97, 7,952.78 and 3,744.02 is: 5,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.97 : 7,952.78 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    5,300.97/7,952.78 = 3,744.02/x
  3. Step 3: Cross multiply
    5,300.97x = 7,952.78 × 3,744.02
  4. Step 4: Simplify right side
    5,300.97x = 29,775,396.62
  5. Step 5: Solve for x
    x = 29,775,396.62/5,300.97
  6. Step 6: Final answer
    x = 5,616.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.