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Finding the Fourth Proportional to 3,649.80, 5,471.44 and 2,414.60

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Solution

The fourth proportional to 3,649.80, 5,471.44 and 2,414.60 is: 3,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.80 : 5,471.44 = 2,414.60 : x
  2. Step 2: Convert to fraction form
    3,649.80/5,471.44 = 2,414.60/x
  3. Step 3: Cross multiply
    3,649.80x = 5,471.44 × 2,414.60
  4. Step 4: Simplify right side
    3,649.80x = 13,211,339.02
  5. Step 5: Solve for x
    x = 13,211,339.02/3,649.80
  6. Step 6: Final answer
    x = 3,619.74

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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.