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Finding the Fourth Proportional to 5,745.98, 8,619.42 and 1,850.52

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Solution

The fourth proportional to 5,745.98, 8,619.42 and 1,850.52 is: 2,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.98 : 8,619.42 = 1,850.52 : x
  2. Step 2: Convert to fraction form
    5,745.98/8,619.42 = 1,850.52/x
  3. Step 3: Cross multiply
    5,745.98x = 8,619.42 × 1,850.52
  4. Step 4: Simplify right side
    5,745.98x = 15,950,409.10
  5. Step 5: Solve for x
    x = 15,950,409.10/5,745.98
  6. Step 6: Final answer
    x = 2,775.92

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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.