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Finding the Fourth Proportional to 5,216.30, 7,198.12 and 2,978.12

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Solution

The fourth proportional to 5,216.30, 7,198.12 and 2,978.12 is: 4,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.30 : 7,198.12 = 2,978.12 : x
  2. Step 2: Convert to fraction form
    5,216.30/7,198.12 = 2,978.12/x
  3. Step 3: Cross multiply
    5,216.30x = 7,198.12 × 2,978.12
  4. Step 4: Simplify right side
    5,216.30x = 21,436,829.61
  5. Step 5: Solve for x
    x = 21,436,829.61/5,216.30
  6. Step 6: Final answer
    x = 4,109.59

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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.