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Finding the Fourth Proportional to 3,801.75, 5,703.44 and 1,493.25

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Solution

The fourth proportional to 3,801.75, 5,703.44 and 1,493.25 is: 2,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.75 : 5,703.44 = 1,493.25 : x
  2. Step 2: Convert to fraction form
    3,801.75/5,703.44 = 1,493.25/x
  3. Step 3: Cross multiply
    3,801.75x = 5,703.44 × 1,493.25
  4. Step 4: Simplify right side
    3,801.75x = 8,516,654.31
  5. Step 5: Solve for x
    x = 8,516,654.31/3,801.75
  6. Step 6: Final answer
    x = 2,240.19

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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.