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Finding the Fourth Proportional to 3,649.74, 5,475.24 and 2,091.48

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Solution

The fourth proportional to 3,649.74, 5,475.24 and 2,091.48 is: 3,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.74 : 5,475.24 = 2,091.48 : x
  2. Step 2: Convert to fraction form
    3,649.74/5,475.24 = 2,091.48/x
  3. Step 3: Cross multiply
    3,649.74x = 5,475.24 × 2,091.48
  4. Step 4: Simplify right side
    3,649.74x = 11,451,354.96
  5. Step 5: Solve for x
    x = 11,451,354.96/3,649.74
  6. Step 6: Final answer
    x = 3,137.58

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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.