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Finding the Fourth Proportional to 5,409.56, 8,112.72 and 1,946

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Solution

The fourth proportional to 5,409.56, 8,112.72 and 1,946 is: 2,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.56 : 8,112.72 = 1,946 : x
  2. Step 2: Convert to fraction form
    5,409.56/8,112.72 = 1,946/x
  3. Step 3: Cross multiply
    5,409.56x = 8,112.72 × 1,946
  4. Step 4: Simplify right side
    5,409.56x = 15,787,353.12
  5. Step 5: Solve for x
    x = 15,787,353.12/5,409.56
  6. Step 6: Final answer
    x = 2,918.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.