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Finding the Fourth Proportional to 5,887.50, 8,832.77 and 2,189.85

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Solution

The fourth proportional to 5,887.50, 8,832.77 and 2,189.85 is: 3,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.50 : 8,832.77 = 2,189.85 : x
  2. Step 2: Convert to fraction form
    5,887.50/8,832.77 = 2,189.85/x
  3. Step 3: Cross multiply
    5,887.50x = 8,832.77 × 2,189.85
  4. Step 4: Simplify right side
    5,887.50x = 19,342,441.38
  5. Step 5: Solve for x
    x = 19,342,441.38/5,887.50
  6. Step 6: Final answer
    x = 3,285.34

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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.