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Finding the Fourth Proportional to 3,824.57, 5,735.75 and 1,051.33

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Solution

The fourth proportional to 3,824.57, 5,735.75 and 1,051.33 is: 1,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.57 : 5,735.75 = 1,051.33 : x
  2. Step 2: Convert to fraction form
    3,824.57/5,735.75 = 1,051.33/x
  3. Step 3: Cross multiply
    3,824.57x = 5,735.75 × 1,051.33
  4. Step 4: Simplify right side
    3,824.57x = 6,030,160.79
  5. Step 5: Solve for x
    x = 6,030,160.79/3,824.57
  6. Step 6: Final answer
    x = 1,576.69

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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.