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Finding the Fourth Proportional to 3,577.44, 4,936.32 and 2,005.20

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Solution

The fourth proportional to 3,577.44, 4,936.32 and 2,005.20 is: 2,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.44 : 4,936.32 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    3,577.44/4,936.32 = 2,005.20/x
  3. Step 3: Cross multiply
    3,577.44x = 4,936.32 × 2,005.20
  4. Step 4: Simplify right side
    3,577.44x = 9,898,308.86
  5. Step 5: Solve for x
    x = 9,898,308.86/3,577.44
  6. Step 6: Final answer
    x = 2,766.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.