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Finding the Fourth Proportional to 3,511.72, 4,844.02 and 2,094.46

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Solution

The fourth proportional to 3,511.72, 4,844.02 and 2,094.46 is: 2,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.72 : 4,844.02 = 2,094.46 : x
  2. Step 2: Convert to fraction form
    3,511.72/4,844.02 = 2,094.46/x
  3. Step 3: Cross multiply
    3,511.72x = 4,844.02 × 2,094.46
  4. Step 4: Simplify right side
    3,511.72x = 10,145,606.13
  5. Step 5: Solve for x
    x = 10,145,606.13/3,511.72
  6. Step 6: Final answer
    x = 2,889.07

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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.