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Finding the Fourth Proportional to 5,745.12, 8,616.33 and 3,662.07

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Solution

The fourth proportional to 5,745.12, 8,616.33 and 3,662.07 is: 5,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.12 : 8,616.33 = 3,662.07 : x
  2. Step 2: Convert to fraction form
    5,745.12/8,616.33 = 3,662.07/x
  3. Step 3: Cross multiply
    5,745.12x = 8,616.33 × 3,662.07
  4. Step 4: Simplify right side
    5,745.12x = 31,553,603.60
  5. Step 5: Solve for x
    x = 31,553,603.60/5,745.12
  6. Step 6: Final answer
    x = 5,492.24

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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.