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Finding the Fourth Proportional to 3,869.29, 5,803.95 and 1,096.27

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Solution

The fourth proportional to 3,869.29, 5,803.95 and 1,096.27 is: 1,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.29 : 5,803.95 = 1,096.27 : x
  2. Step 2: Convert to fraction form
    3,869.29/5,803.95 = 1,096.27/x
  3. Step 3: Cross multiply
    3,869.29x = 5,803.95 × 1,096.27
  4. Step 4: Simplify right side
    3,869.29x = 6,362,696.27
  5. Step 5: Solve for x
    x = 6,362,696.27/3,869.29
  6. Step 6: Final answer
    x = 1,644.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.