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Finding the Fourth Proportional to 5,690.88, 8,538.12 and 1,796.04

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Solution

The fourth proportional to 5,690.88, 8,538.12 and 1,796.04 is: 2,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.88 : 8,538.12 = 1,796.04 : x
  2. Step 2: Convert to fraction form
    5,690.88/8,538.12 = 1,796.04/x
  3. Step 3: Cross multiply
    5,690.88x = 8,538.12 × 1,796.04
  4. Step 4: Simplify right side
    5,690.88x = 15,334,805.04
  5. Step 5: Solve for x
    x = 15,334,805.04/5,690.88
  6. Step 6: Final answer
    x = 2,694.63

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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.