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Finding the Fourth Proportional to 3,197.70, 4,415.15 and 2,754.84

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Solution

The fourth proportional to 3,197.70, 4,415.15 and 2,754.84 is: 3,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.70 : 4,415.15 = 2,754.84 : x
  2. Step 2: Convert to fraction form
    3,197.70/4,415.15 = 2,754.84/x
  3. Step 3: Cross multiply
    3,197.70x = 4,415.15 × 2,754.84
  4. Step 4: Simplify right side
    3,197.70x = 12,163,031.83
  5. Step 5: Solve for x
    x = 12,163,031.83/3,197.70
  6. Step 6: Final answer
    x = 3,803.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.