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Finding the Fourth Proportional to 4,097.61, 5,649.21 and 2,678.49

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Solution

The fourth proportional to 4,097.61, 5,649.21 and 2,678.49 is: 3,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.61 : 5,649.21 = 2,678.49 : x
  2. Step 2: Convert to fraction form
    4,097.61/5,649.21 = 2,678.49/x
  3. Step 3: Cross multiply
    4,097.61x = 5,649.21 × 2,678.49
  4. Step 4: Simplify right side
    4,097.61x = 15,131,352.49
  5. Step 5: Solve for x
    x = 15,131,352.49/4,097.61
  6. Step 6: Final answer
    x = 3,692.73

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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.