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Finding the Fourth Proportional to 3,945.68, 5,440.20 and 3,196.88

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Solution

The fourth proportional to 3,945.68, 5,440.20 and 3,196.88 is: 4,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.68 : 5,440.20 = 3,196.88 : x
  2. Step 2: Convert to fraction form
    3,945.68/5,440.20 = 3,196.88/x
  3. Step 3: Cross multiply
    3,945.68x = 5,440.20 × 3,196.88
  4. Step 4: Simplify right side
    3,945.68x = 17,391,666.58
  5. Step 5: Solve for x
    x = 17,391,666.58/3,945.68
  6. Step 6: Final answer
    x = 4,407.77

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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.