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Finding the Fourth Proportional to 5,216.24, 7,198.91 and 2,978.45

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Solution

The fourth proportional to 5,216.24, 7,198.91 and 2,978.45 is: 4,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.24 : 7,198.91 = 2,978.45 : x
  2. Step 2: Convert to fraction form
    5,216.24/7,198.91 = 2,978.45/x
  3. Step 3: Cross multiply
    5,216.24x = 7,198.91 × 2,978.45
  4. Step 4: Simplify right side
    5,216.24x = 21,441,564.94
  5. Step 5: Solve for x
    x = 21,441,564.94/5,216.24
  6. Step 6: Final answer
    x = 4,110.54

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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.