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Finding the Fourth Proportional to 3,927, 5,419.02 and 2,158.44

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Solution

The fourth proportional to 3,927, 5,419.02 and 2,158.44 is: 2,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 5,419.02 = 2,158.44 : x
  2. Step 2: Convert to fraction form
    3,927/5,419.02 = 2,158.44/x
  3. Step 3: Cross multiply
    3,927x = 5,419.02 × 2,158.44
  4. Step 4: Simplify right side
    3,927x = 11,696,629.53
  5. Step 5: Solve for x
    x = 11,696,629.53/3,927
  6. Step 6: Final answer
    x = 2,978.52

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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.