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Finding the Fourth Proportional to 5,829.98, 8,745.08 and 2,134.94

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Solution

The fourth proportional to 5,829.98, 8,745.08 and 2,134.94 is: 3,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.98 : 8,745.08 = 2,134.94 : x
  2. Step 2: Convert to fraction form
    5,829.98/8,745.08 = 2,134.94/x
  3. Step 3: Cross multiply
    5,829.98x = 8,745.08 × 2,134.94
  4. Step 4: Simplify right side
    5,829.98x = 18,670,166.70
  5. Step 5: Solve for x
    x = 18,670,166.70/5,829.98
  6. Step 6: Final answer
    x = 3,202.44

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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.