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Finding the Fourth Proportional to 5,168.61, 7,745.22 and 2,245.32

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Solution

The fourth proportional to 5,168.61, 7,745.22 and 2,245.32 is: 3,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.61 : 7,745.22 = 2,245.32 : x
  2. Step 2: Convert to fraction form
    5,168.61/7,745.22 = 2,245.32/x
  3. Step 3: Cross multiply
    5,168.61x = 7,745.22 × 2,245.32
  4. Step 4: Simplify right side
    5,168.61x = 17,390,497.37
  5. Step 5: Solve for x
    x = 17,390,497.37/5,168.61
  6. Step 6: Final answer
    x = 3,364.64

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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.