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Finding the Fourth Proportional to 3,197.45, 4,793.74 and 2,653.13

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Solution

The fourth proportional to 3,197.45, 4,793.74 and 2,653.13 is: 3,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.45 : 4,793.74 = 2,653.13 : x
  2. Step 2: Convert to fraction form
    3,197.45/4,793.74 = 2,653.13/x
  3. Step 3: Cross multiply
    3,197.45x = 4,793.74 × 2,653.13
  4. Step 4: Simplify right side
    3,197.45x = 12,718,384.80
  5. Step 5: Solve for x
    x = 12,718,384.80/3,197.45
  6. Step 6: Final answer
    x = 3,977.67

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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.