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Finding the Fourth Proportional to 3,663.30, 5,497.20 and 1,471.80

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Solution

The fourth proportional to 3,663.30, 5,497.20 and 1,471.80 is: 2,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.30 : 5,497.20 = 1,471.80 : x
  2. Step 2: Convert to fraction form
    3,663.30/5,497.20 = 1,471.80/x
  3. Step 3: Cross multiply
    3,663.30x = 5,497.20 × 1,471.80
  4. Step 4: Simplify right side
    3,663.30x = 8,090,778.96
  5. Step 5: Solve for x
    x = 8,090,778.96/3,663.30
  6. Step 6: Final answer
    x = 2,208.60

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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.