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Finding the Fourth Proportional to 3,261.44, 4,892.16 and 3,206.36

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Solution

The fourth proportional to 3,261.44, 4,892.16 and 3,206.36 is: 4,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.44 : 4,892.16 = 3,206.36 : x
  2. Step 2: Convert to fraction form
    3,261.44/4,892.16 = 3,206.36/x
  3. Step 3: Cross multiply
    3,261.44x = 4,892.16 × 3,206.36
  4. Step 4: Simplify right side
    3,261.44x = 15,686,026.14
  5. Step 5: Solve for x
    x = 15,686,026.14/3,261.44
  6. Step 6: Final answer
    x = 4,809.54

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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.