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Finding the Fourth Proportional to 3,468.80, 5,197.34 and 1,711.46

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Solution

The fourth proportional to 3,468.80, 5,197.34 and 1,711.46 is: 2,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.80 : 5,197.34 = 1,711.46 : x
  2. Step 2: Convert to fraction form
    3,468.80/5,197.34 = 1,711.46/x
  3. Step 3: Cross multiply
    3,468.80x = 5,197.34 × 1,711.46
  4. Step 4: Simplify right side
    3,468.80x = 8,895,056.79
  5. Step 5: Solve for x
    x = 8,895,056.79/3,468.80
  6. Step 6: Final answer
    x = 2,564.30

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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.