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Finding the Fourth Proportional to 5,216.29, 7,197.99 and 2,978.14

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Solution

The fourth proportional to 5,216.29, 7,197.99 and 2,978.14 is: 4,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.29 : 7,197.99 = 2,978.14 : x
  2. Step 2: Convert to fraction form
    5,216.29/7,197.99 = 2,978.14/x
  3. Step 3: Cross multiply
    5,216.29x = 7,197.99 × 2,978.14
  4. Step 4: Simplify right side
    5,216.29x = 21,436,621.94
  5. Step 5: Solve for x
    x = 21,436,621.94/5,216.29
  6. Step 6: Final answer
    x = 4,109.55

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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.