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Finding the Fourth Proportional to 5,216.76, 7,198.48 and 4,157.22

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Solution

The fourth proportional to 5,216.76, 7,198.48 and 4,157.22 is: 5,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.76 : 7,198.48 = 4,157.22 : x
  2. Step 2: Convert to fraction form
    5,216.76/7,198.48 = 4,157.22/x
  3. Step 3: Cross multiply
    5,216.76x = 7,198.48 × 4,157.22
  4. Step 4: Simplify right side
    5,216.76x = 29,925,665.03
  5. Step 5: Solve for x
    x = 29,925,665.03/5,216.76
  6. Step 6: Final answer
    x = 5,736.45

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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.