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Finding the Fourth Proportional to 3,835.80, 5,296.73 and 3,638.97

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Solution

The fourth proportional to 3,835.80, 5,296.73 and 3,638.97 is: 5,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.80 : 5,296.73 = 3,638.97 : x
  2. Step 2: Convert to fraction form
    3,835.80/5,296.73 = 3,638.97/x
  3. Step 3: Cross multiply
    3,835.80x = 5,296.73 × 3,638.97
  4. Step 4: Simplify right side
    3,835.80x = 19,274,623.37
  5. Step 5: Solve for x
    x = 19,274,623.37/3,835.80
  6. Step 6: Final answer
    x = 5,024.93

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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.