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Finding the Fourth Proportional to 3,649.38, 5,473.26 and 1,801.80

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Solution

The fourth proportional to 3,649.38, 5,473.26 and 1,801.80 is: 2,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.38 : 5,473.26 = 1,801.80 : x
  2. Step 2: Convert to fraction form
    3,649.38/5,473.26 = 1,801.80/x
  3. Step 3: Cross multiply
    3,649.38x = 5,473.26 × 1,801.80
  4. Step 4: Simplify right side
    3,649.38x = 9,861,719.87
  5. Step 5: Solve for x
    x = 9,861,719.87/3,649.38
  6. Step 6: Final answer
    x = 2,702.30

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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.