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Finding the Fourth Proportional to 3,586.92, 4,949.54 and 2,094.28

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Solution

The fourth proportional to 3,586.92, 4,949.54 and 2,094.28 is: 2,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.92 : 4,949.54 = 2,094.28 : x
  2. Step 2: Convert to fraction form
    3,586.92/4,949.54 = 2,094.28/x
  3. Step 3: Cross multiply
    3,586.92x = 4,949.54 × 2,094.28
  4. Step 4: Simplify right side
    3,586.92x = 10,365,722.63
  5. Step 5: Solve for x
    x = 10,365,722.63/3,586.92
  6. Step 6: Final answer
    x = 2,889.87

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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.