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Finding the Fourth Proportional to 3,965.96, 5,473.20 and 2,197.57

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Solution

The fourth proportional to 3,965.96, 5,473.20 and 2,197.57 is: 3,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.96 : 5,473.20 = 2,197.57 : x
  2. Step 2: Convert to fraction form
    3,965.96/5,473.20 = 2,197.57/x
  3. Step 3: Cross multiply
    3,965.96x = 5,473.20 × 2,197.57
  4. Step 4: Simplify right side
    3,965.96x = 12,027,712.76
  5. Step 5: Solve for x
    x = 12,027,712.76/3,965.96
  6. Step 6: Final answer
    x = 3,032.74

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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.