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Finding the Fourth Proportional to 3,745.20, 5,609.70 and 3,259.20

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Solution

The fourth proportional to 3,745.20, 5,609.70 and 3,259.20 is: 4,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.20 : 5,609.70 = 3,259.20 : x
  2. Step 2: Convert to fraction form
    3,745.20/5,609.70 = 3,259.20/x
  3. Step 3: Cross multiply
    3,745.20x = 5,609.70 × 3,259.20
  4. Step 4: Simplify right side
    3,745.20x = 18,283,134.24
  5. Step 5: Solve for x
    x = 18,283,134.24/3,745.20
  6. Step 6: Final answer
    x = 4,881.75

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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.