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Finding the Fourth Proportional to 5,398.56, 8,098.92 and 1,936.08

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Solution

The fourth proportional to 5,398.56, 8,098.92 and 1,936.08 is: 2,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.56 : 8,098.92 = 1,936.08 : x
  2. Step 2: Convert to fraction form
    5,398.56/8,098.92 = 1,936.08/x
  3. Step 3: Cross multiply
    5,398.56x = 8,098.92 × 1,936.08
  4. Step 4: Simplify right side
    5,398.56x = 15,680,157.03
  5. Step 5: Solve for x
    x = 15,680,157.03/5,398.56
  6. Step 6: Final answer
    x = 2,904.51

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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.