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Finding the Fourth Proportional to 3,965.92, 5,473.01 and 2,197.48

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Solution

The fourth proportional to 3,965.92, 5,473.01 and 2,197.48 is: 3,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.92 : 5,473.01 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    3,965.92/5,473.01 = 2,197.48/x
  3. Step 3: Cross multiply
    3,965.92x = 5,473.01 × 2,197.48
  4. Step 4: Simplify right side
    3,965.92x = 12,026,830.01
  5. Step 5: Solve for x
    x = 12,026,830.01/3,965.92
  6. Step 6: Final answer
    x = 3,032.54

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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.