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Finding the Fourth Proportional to 3,965.99, 5,473.05 and 2,197.59

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Solution

The fourth proportional to 3,965.99, 5,473.05 and 2,197.59 is: 3,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.99 : 5,473.05 = 2,197.59 : x
  2. Step 2: Convert to fraction form
    3,965.99/5,473.05 = 2,197.59/x
  3. Step 3: Cross multiply
    3,965.99x = 5,473.05 × 2,197.59
  4. Step 4: Simplify right side
    3,965.99x = 12,027,519.95
  5. Step 5: Solve for x
    x = 12,027,519.95/3,965.99
  6. Step 6: Final answer
    x = 3,032.67

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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.