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Finding the Fourth Proportional to 3,259.56, 4,889.01 and 919.38

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Solution

The fourth proportional to 3,259.56, 4,889.01 and 919.38 is: 1,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.56 : 4,889.01 = 919.38 : x
  2. Step 2: Convert to fraction form
    3,259.56/4,889.01 = 919.38/x
  3. Step 3: Cross multiply
    3,259.56x = 4,889.01 × 919.38
  4. Step 4: Simplify right side
    3,259.56x = 4,494,858.01
  5. Step 5: Solve for x
    x = 4,494,858.01/3,259.56
  6. Step 6: Final answer
    x = 1,378.98

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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.