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Finding the Fourth Proportional to 3,829.40, 5,744.77 and 1,364.16

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Solution

The fourth proportional to 3,829.40, 5,744.77 and 1,364.16 is: 2,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.40 : 5,744.77 = 1,364.16 : x
  2. Step 2: Convert to fraction form
    3,829.40/5,744.77 = 1,364.16/x
  3. Step 3: Cross multiply
    3,829.40x = 5,744.77 × 1,364.16
  4. Step 4: Simplify right side
    3,829.40x = 7,836,785.44
  5. Step 5: Solve for x
    x = 7,836,785.44/3,829.40
  6. Step 6: Final answer
    x = 2,046.48

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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.