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Finding the Fourth Proportional to 5,396.84, 8,089.50 and 3,853.16

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Solution

The fourth proportional to 5,396.84, 8,089.50 and 3,853.16 is: 5,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.84 : 8,089.50 = 3,853.16 : x
  2. Step 2: Convert to fraction form
    5,396.84/8,089.50 = 3,853.16/x
  3. Step 3: Cross multiply
    5,396.84x = 8,089.50 × 3,853.16
  4. Step 4: Simplify right side
    5,396.84x = 31,170,137.82
  5. Step 5: Solve for x
    x = 31,170,137.82/5,396.84
  6. Step 6: Final answer
    x = 5,775.63

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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.