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Finding the Fourth Proportional to 3,833.52, 5,749.22 and 1,059.52

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Solution

The fourth proportional to 3,833.52, 5,749.22 and 1,059.52 is: 1,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.52 : 5,749.22 = 1,059.52 : x
  2. Step 2: Convert to fraction form
    3,833.52/5,749.22 = 1,059.52/x
  3. Step 3: Cross multiply
    3,833.52x = 5,749.22 × 1,059.52
  4. Step 4: Simplify right side
    3,833.52x = 6,091,413.57
  5. Step 5: Solve for x
    x = 6,091,413.57/3,833.52
  6. Step 6: Final answer
    x = 1,588.99

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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.