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Finding the Fourth Proportional to 5,649.08, 7,791.33 and 3,408.62

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Solution

The fourth proportional to 5,649.08, 7,791.33 and 3,408.62 is: 4,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.08 : 7,791.33 = 3,408.62 : x
  2. Step 2: Convert to fraction form
    5,649.08/7,791.33 = 3,408.62/x
  3. Step 3: Cross multiply
    5,649.08x = 7,791.33 × 3,408.62
  4. Step 4: Simplify right side
    5,649.08x = 26,557,686.31
  5. Step 5: Solve for x
    x = 26,557,686.31/5,649.08
  6. Step 6: Final answer
    x = 4,701.24

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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.