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Finding the Fourth Proportional to 5,335.75, 8,004.72 and 1,825.48

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Solution

The fourth proportional to 5,335.75, 8,004.72 and 1,825.48 is: 2,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.75 : 8,004.72 = 1,825.48 : x
  2. Step 2: Convert to fraction form
    5,335.75/8,004.72 = 1,825.48/x
  3. Step 3: Cross multiply
    5,335.75x = 8,004.72 × 1,825.48
  4. Step 4: Simplify right side
    5,335.75x = 14,612,456.27
  5. Step 5: Solve for x
    x = 14,612,456.27/5,335.75
  6. Step 6: Final answer
    x = 2,738.59

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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.