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Finding the Fourth Proportional to 5,496.72, 8,235.16 and 3,643.44

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Solution

The fourth proportional to 5,496.72, 8,235.16 and 3,643.44 is: 5,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.72 : 8,235.16 = 3,643.44 : x
  2. Step 2: Convert to fraction form
    5,496.72/8,235.16 = 3,643.44/x
  3. Step 3: Cross multiply
    5,496.72x = 8,235.16 × 3,643.44
  4. Step 4: Simplify right side
    5,496.72x = 30,004,311.35
  5. Step 5: Solve for x
    x = 30,004,311.35/5,496.72
  6. Step 6: Final answer
    x = 5,458.58

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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.