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Finding the Fourth Proportional to 3,758.34, 5,640.91 and 2,004.81

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Solution

The fourth proportional to 3,758.34, 5,640.91 and 2,004.81 is: 3,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.34 : 5,640.91 = 2,004.81 : x
  2. Step 2: Convert to fraction form
    3,758.34/5,640.91 = 2,004.81/x
  3. Step 3: Cross multiply
    3,758.34x = 5,640.91 × 2,004.81
  4. Step 4: Simplify right side
    3,758.34x = 11,308,942.75
  5. Step 5: Solve for x
    x = 11,308,942.75/3,758.34
  6. Step 6: Final answer
    x = 3,009.03

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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.