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Finding the Fourth Proportional to 3,795, 5,693.34 and 1,605.60

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Solution

The fourth proportional to 3,795, 5,693.34 and 1,605.60 is: 2,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,693.34 = 1,605.60 : x
  2. Step 2: Convert to fraction form
    3,795/5,693.34 = 1,605.60/x
  3. Step 3: Cross multiply
    3,795x = 5,693.34 × 1,605.60
  4. Step 4: Simplify right side
    3,795x = 9,141,226.70
  5. Step 5: Solve for x
    x = 9,141,226.70/3,795
  6. Step 6: Final answer
    x = 2,408.76

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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.