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Finding the Fourth Proportional to 3,808.80, 5,719.50 and 3,197.52

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Solution

The fourth proportional to 3,808.80, 5,719.50 and 3,197.52 is: 4,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.80 : 5,719.50 = 3,197.52 : x
  2. Step 2: Convert to fraction form
    3,808.80/5,719.50 = 3,197.52/x
  3. Step 3: Cross multiply
    3,808.80x = 5,719.50 × 3,197.52
  4. Step 4: Simplify right side
    3,808.80x = 18,288,215.64
  5. Step 5: Solve for x
    x = 18,288,215.64/3,808.80
  6. Step 6: Final answer
    x = 4,801.57

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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.