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Finding the Fourth Proportional to 5,004.21, 7,505.61 and 3,149.67

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Solution

The fourth proportional to 5,004.21, 7,505.61 and 3,149.67 is: 4,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.21 : 7,505.61 = 3,149.67 : x
  2. Step 2: Convert to fraction form
    5,004.21/7,505.61 = 3,149.67/x
  3. Step 3: Cross multiply
    5,004.21x = 7,505.61 × 3,149.67
  4. Step 4: Simplify right side
    5,004.21x = 23,640,194.65
  5. Step 5: Solve for x
    x = 23,640,194.65/5,004.21
  6. Step 6: Final answer
    x = 4,724.06

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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.