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Finding the Fourth Proportional to 5,375.75, 8,064.14 and 2,089.10

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Solution

The fourth proportional to 5,375.75, 8,064.14 and 2,089.10 is: 3,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.75 : 8,064.14 = 2,089.10 : x
  2. Step 2: Convert to fraction form
    5,375.75/8,064.14 = 2,089.10/x
  3. Step 3: Cross multiply
    5,375.75x = 8,064.14 × 2,089.10
  4. Step 4: Simplify right side
    5,375.75x = 16,846,744.11
  5. Step 5: Solve for x
    x = 16,846,744.11/5,375.75
  6. Step 6: Final answer
    x = 3,133.84

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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.