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Finding the Fourth Proportional to 3,796.58, 5,695.27 and 1,605.53

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Solution

The fourth proportional to 3,796.58, 5,695.27 and 1,605.53 is: 2,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.58 : 5,695.27 = 1,605.53 : x
  2. Step 2: Convert to fraction form
    3,796.58/5,695.27 = 1,605.53/x
  3. Step 3: Cross multiply
    3,796.58x = 5,695.27 × 1,605.53
  4. Step 4: Simplify right side
    3,796.58x = 9,143,924.74
  5. Step 5: Solve for x
    x = 9,143,924.74/3,796.58
  6. Step 6: Final answer
    x = 2,408.46

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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.