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Finding the Fourth Proportional to 3,670.20, 5,505.30 and 3,259.80

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Solution

The fourth proportional to 3,670.20, 5,505.30 and 3,259.80 is: 4,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.20 : 5,505.30 = 3,259.80 : x
  2. Step 2: Convert to fraction form
    3,670.20/5,505.30 = 3,259.80/x
  3. Step 3: Cross multiply
    3,670.20x = 5,505.30 × 3,259.80
  4. Step 4: Simplify right side
    3,670.20x = 17,946,176.94
  5. Step 5: Solve for x
    x = 17,946,176.94/3,670.20
  6. Step 6: Final answer
    x = 4,889.70

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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.