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Finding the Fourth Proportional to 5,623.97, 7,753.79 and 3,852.41

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Solution

The fourth proportional to 5,623.97, 7,753.79 and 3,852.41 is: 5,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.97 : 7,753.79 = 3,852.41 : x
  2. Step 2: Convert to fraction form
    5,623.97/7,753.79 = 3,852.41/x
  3. Step 3: Cross multiply
    5,623.97x = 7,753.79 × 3,852.41
  4. Step 4: Simplify right side
    5,623.97x = 29,870,749.00
  5. Step 5: Solve for x
    x = 29,870,749.00/5,623.97
  6. Step 6: Final answer
    x = 5,311.33

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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.