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Finding the Fourth Proportional to 5,944.64, 8,205.07 and 3,428.26

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Solution

The fourth proportional to 5,944.64, 8,205.07 and 3,428.26 is: 4,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.64 : 8,205.07 = 3,428.26 : x
  2. Step 2: Convert to fraction form
    5,944.64/8,205.07 = 3,428.26/x
  3. Step 3: Cross multiply
    5,944.64x = 8,205.07 × 3,428.26
  4. Step 4: Simplify right side
    5,944.64x = 28,129,100.26
  5. Step 5: Solve for x
    x = 28,129,100.26/5,944.64
  6. Step 6: Final answer
    x = 4,731.85

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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.