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Finding the Fourth Proportional to 5,745.54, 7,932.15 and 3,859.86

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Solution

The fourth proportional to 5,745.54, 7,932.15 and 3,859.86 is: 5,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.54 : 7,932.15 = 3,859.86 : x
  2. Step 2: Convert to fraction form
    5,745.54/7,932.15 = 3,859.86/x
  3. Step 3: Cross multiply
    5,745.54x = 7,932.15 × 3,859.86
  4. Step 4: Simplify right side
    5,745.54x = 30,616,988.50
  5. Step 5: Solve for x
    x = 30,616,988.50/5,745.54
  6. Step 6: Final answer
    x = 5,328.83

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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.