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Finding the Fourth Proportional to 5,611.64, 7,745.20 and 3,723.32

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Solution

The fourth proportional to 5,611.64, 7,745.20 and 3,723.32 is: 5,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.64 : 7,745.20 = 3,723.32 : x
  2. Step 2: Convert to fraction form
    5,611.64/7,745.20 = 3,723.32/x
  3. Step 3: Cross multiply
    5,611.64x = 7,745.20 × 3,723.32
  4. Step 4: Simplify right side
    5,611.64x = 28,837,858.06
  5. Step 5: Solve for x
    x = 28,837,858.06/5,611.64
  6. Step 6: Final answer
    x = 5,138.94

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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.