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Finding the Fourth Proportional to 3,623.88, 5,435.82 and 1,027.02

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Solution

The fourth proportional to 3,623.88, 5,435.82 and 1,027.02 is: 1,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.88 : 5,435.82 = 1,027.02 : x
  2. Step 2: Convert to fraction form
    3,623.88/5,435.82 = 1,027.02/x
  3. Step 3: Cross multiply
    3,623.88x = 5,435.82 × 1,027.02
  4. Step 4: Simplify right side
    3,623.88x = 5,582,695.86
  5. Step 5: Solve for x
    x = 5,582,695.86/3,623.88
  6. Step 6: Final answer
    x = 1,540.53

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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.