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Finding the Fourth Proportional to 5,745.90, 7,934.40 and 3,625.22

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Solution

The fourth proportional to 5,745.90, 7,934.40 and 3,625.22 is: 5,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.90 : 7,934.40 = 3,625.22 : x
  2. Step 2: Convert to fraction form
    5,745.90/7,934.40 = 3,625.22/x
  3. Step 3: Cross multiply
    5,745.90x = 7,934.40 × 3,625.22
  4. Step 4: Simplify right side
    5,745.90x = 28,763,905.90
  5. Step 5: Solve for x
    x = 28,763,905.90/5,745.90
  6. Step 6: Final answer
    x = 5,005.99

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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.