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Finding the Fourth Proportional to 3,829.40, 5,745.54 and 2,608.32

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Solution

The fourth proportional to 3,829.40, 5,745.54 and 2,608.32 is: 3,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.40 : 5,745.54 = 2,608.32 : x
  2. Step 2: Convert to fraction form
    3,829.40/5,745.54 = 2,608.32/x
  3. Step 3: Cross multiply
    3,829.40x = 5,745.54 × 2,608.32
  4. Step 4: Simplify right side
    3,829.40x = 14,986,206.89
  5. Step 5: Solve for x
    x = 14,986,206.89/3,829.40
  6. Step 6: Final answer
    x = 3,913.47

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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.