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Finding the Fourth Proportional to 3,833.25, 5,749.88 and 1,097.25

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Solution

The fourth proportional to 3,833.25, 5,749.88 and 1,097.25 is: 1,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.25 : 5,749.88 = 1,097.25 : x
  2. Step 2: Convert to fraction form
    3,833.25/5,749.88 = 1,097.25/x
  3. Step 3: Cross multiply
    3,833.25x = 5,749.88 × 1,097.25
  4. Step 4: Simplify right side
    3,833.25x = 6,309,050.34
  5. Step 5: Solve for x
    x = 6,309,050.34/3,833.25
  6. Step 6: Final answer
    x = 1,645.88

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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.