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Finding the Fourth Proportional to 3,829.37, 5,744.28 and 1,197.25

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Solution

The fourth proportional to 3,829.37, 5,744.28 and 1,197.25 is: 1,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.37 : 5,744.28 = 1,197.25 : x
  2. Step 2: Convert to fraction form
    3,829.37/5,744.28 = 1,197.25/x
  3. Step 3: Cross multiply
    3,829.37x = 5,744.28 × 1,197.25
  4. Step 4: Simplify right side
    3,829.37x = 6,877,339.23
  5. Step 5: Solve for x
    x = 6,877,339.23/3,829.37
  6. Step 6: Final answer
    x = 1,795.95

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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.