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Finding the Fourth Proportional to 3,825.25, 5,735.14 and 2,363.00

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Solution

The fourth proportional to 3,825.25, 5,735.14 and 2,363.00 is: 3,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.25 : 5,735.14 = 2,363.00 : x
  2. Step 2: Convert to fraction form
    3,825.25/5,735.14 = 2,363.00/x
  3. Step 3: Cross multiply
    3,825.25x = 5,735.14 × 2,363.00
  4. Step 4: Simplify right side
    3,825.25x = 13,552,101.24
  5. Step 5: Solve for x
    x = 13,552,101.24/3,825.25
  6. Step 6: Final answer
    x = 3,542.80

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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.