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Finding the Fourth Proportional to 4,138.91, 6,202.29 and 3,094.01

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Solution

The fourth proportional to 4,138.91, 6,202.29 and 3,094.01 is: 4,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.91 : 6,202.29 = 3,094.01 : x
  2. Step 2: Convert to fraction form
    4,138.91/6,202.29 = 3,094.01/x
  3. Step 3: Cross multiply
    4,138.91x = 6,202.29 × 3,094.01
  4. Step 4: Simplify right side
    4,138.91x = 19,189,947.28
  5. Step 5: Solve for x
    x = 19,189,947.28/4,138.91
  6. Step 6: Final answer
    x = 4,636.47

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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.