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Finding the Fourth Proportional to 3,894.36, 5,835.06 and 1,699.80

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Solution

The fourth proportional to 3,894.36, 5,835.06 and 1,699.80 is: 2,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.36 : 5,835.06 = 1,699.80 : x
  2. Step 2: Convert to fraction form
    3,894.36/5,835.06 = 1,699.80/x
  3. Step 3: Cross multiply
    3,894.36x = 5,835.06 × 1,699.80
  4. Step 4: Simplify right side
    3,894.36x = 9,918,434.99
  5. Step 5: Solve for x
    x = 9,918,434.99/3,894.36
  6. Step 6: Final answer
    x = 2,546.87

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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.