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Finding the Fourth Proportional to 5,216.66, 7,198.29 and 2,978.39

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Solution

The fourth proportional to 5,216.66, 7,198.29 and 2,978.39 is: 4,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.66 : 7,198.29 = 2,978.39 : x
  2. Step 2: Convert to fraction form
    5,216.66/7,198.29 = 2,978.39/x
  3. Step 3: Cross multiply
    5,216.66x = 7,198.29 × 2,978.39
  4. Step 4: Simplify right side
    5,216.66x = 21,439,278.96
  5. Step 5: Solve for x
    x = 21,439,278.96/5,216.66
  6. Step 6: Final answer
    x = 4,109.78

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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.