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Finding the Fourth Proportional to 5,805.89, 8,708.96 and 1,857.90

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Solution

The fourth proportional to 5,805.89, 8,708.96 and 1,857.90 is: 2,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.89 : 8,708.96 = 1,857.90 : x
  2. Step 2: Convert to fraction form
    5,805.89/8,708.96 = 1,857.90/x
  3. Step 3: Cross multiply
    5,805.89x = 8,708.96 × 1,857.90
  4. Step 4: Simplify right side
    5,805.89x = 16,180,367.49
  5. Step 5: Solve for x
    x = 16,180,367.49/5,805.89
  6. Step 6: Final answer
    x = 2,786.89

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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.