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Finding the Fourth Proportional to 5,409.75, 8,105.40 and 3,842.01

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Solution

The fourth proportional to 5,409.75, 8,105.40 and 3,842.01 is: 5,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.75 : 8,105.40 = 3,842.01 : x
  2. Step 2: Convert to fraction form
    5,409.75/8,105.40 = 3,842.01/x
  3. Step 3: Cross multiply
    5,409.75x = 8,105.40 × 3,842.01
  4. Step 4: Simplify right side
    5,409.75x = 31,141,027.85
  5. Step 5: Solve for x
    x = 31,141,027.85/5,409.75
  6. Step 6: Final answer
    x = 5,756.46

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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.