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Finding the Fourth Proportional to 4,469.46, 6,699.99 and 1,505.83

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Solution

The fourth proportional to 4,469.46, 6,699.99 and 1,505.83 is: 2,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.46 : 6,699.99 = 1,505.83 : x
  2. Step 2: Convert to fraction form
    4,469.46/6,699.99 = 1,505.83/x
  3. Step 3: Cross multiply
    4,469.46x = 6,699.99 × 1,505.83
  4. Step 4: Simplify right side
    4,469.46x = 10,089,004.91
  5. Step 5: Solve for x
    x = 10,089,004.91/4,469.46
  6. Step 6: Final answer
    x = 2,257.32

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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.