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Finding the Fourth Proportional to 3,783.25, 5,676.32 and 1,474.93

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Solution

The fourth proportional to 3,783.25, 5,676.32 and 1,474.93 is: 2,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.25 : 5,676.32 = 1,474.93 : x
  2. Step 2: Convert to fraction form
    3,783.25/5,676.32 = 1,474.93/x
  3. Step 3: Cross multiply
    3,783.25x = 5,676.32 × 1,474.93
  4. Step 4: Simplify right side
    3,783.25x = 8,372,174.66
  5. Step 5: Solve for x
    x = 8,372,174.66/3,783.25
  6. Step 6: Final answer
    x = 2,212.96

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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.