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Finding the Fourth Proportional to 3,796.00, 5,239.40 and 2,224.60

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Solution

The fourth proportional to 3,796.00, 5,239.40 and 2,224.60 is: 3,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.00 : 5,239.40 = 2,224.60 : x
  2. Step 2: Convert to fraction form
    3,796.00/5,239.40 = 2,224.60/x
  3. Step 3: Cross multiply
    3,796.00x = 5,239.40 × 2,224.60
  4. Step 4: Simplify right side
    3,796.00x = 11,655,545.02
  5. Step 5: Solve for x
    x = 11,655,545.02/3,796.00
  6. Step 6: Final answer
    x = 3,070.48

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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.