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Finding the Fourth Proportional to 3,828.36, 5,741.32 and 1,230.69

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Solution

The fourth proportional to 3,828.36, 5,741.32 and 1,230.69 is: 1,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.36 : 5,741.32 = 1,230.69 : x
  2. Step 2: Convert to fraction form
    3,828.36/5,741.32 = 1,230.69/x
  3. Step 3: Cross multiply
    3,828.36x = 5,741.32 × 1,230.69
  4. Step 4: Simplify right side
    3,828.36x = 7,065,785.11
  5. Step 5: Solve for x
    x = 7,065,785.11/3,828.36
  6. Step 6: Final answer
    x = 1,845.64

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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.