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Finding the Fourth Proportional to 3,683.88, 5,525.82 and 3,197.88

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Solution

The fourth proportional to 3,683.88, 5,525.82 and 3,197.88 is: 4,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.88 : 5,525.82 = 3,197.88 : x
  2. Step 2: Convert to fraction form
    3,683.88/5,525.82 = 3,197.88/x
  3. Step 3: Cross multiply
    3,683.88x = 5,525.82 × 3,197.88
  4. Step 4: Simplify right side
    3,683.88x = 17,670,909.26
  5. Step 5: Solve for x
    x = 17,670,909.26/3,683.88
  6. Step 6: Final answer
    x = 4,796.82

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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.