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Finding the Fourth Proportional to 3,829.36, 5,741.53 and 1,609.24

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Solution

The fourth proportional to 3,829.36, 5,741.53 and 1,609.24 is: 2,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.36 : 5,741.53 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    3,829.36/5,741.53 = 1,609.24/x
  3. Step 3: Cross multiply
    3,829.36x = 5,741.53 × 1,609.24
  4. Step 4: Simplify right side
    3,829.36x = 9,239,499.74
  5. Step 5: Solve for x
    x = 9,239,499.74/3,829.36
  6. Step 6: Final answer
    x = 2,412.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.