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Finding the Fourth Proportional to 5,755, 8,632.68 and 1,859.44

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Solution

The fourth proportional to 5,755, 8,632.68 and 1,859.44 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755 : 8,632.68 = 1,859.44 : x
  2. Step 2: Convert to fraction form
    5,755/8,632.68 = 1,859.44/x
  3. Step 3: Cross multiply
    5,755x = 8,632.68 × 1,859.44
  4. Step 4: Simplify right side
    5,755x = 16,051,950.50
  5. Step 5: Solve for x
    x = 16,051,950.50/5,755
  6. Step 6: Final answer
    x = 2,789.22

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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.