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Finding the Fourth Proportional to 3,661.75, 5,495.73 and 1,471.96

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Solution

The fourth proportional to 3,661.75, 5,495.73 and 1,471.96 is: 2,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.75 : 5,495.73 = 1,471.96 : x
  2. Step 2: Convert to fraction form
    3,661.75/5,495.73 = 1,471.96/x
  3. Step 3: Cross multiply
    3,661.75x = 5,495.73 × 1,471.96
  4. Step 4: Simplify right side
    3,661.75x = 8,089,494.73
  5. Step 5: Solve for x
    x = 8,089,494.73/3,661.75
  6. Step 6: Final answer
    x = 2,209.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.