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Finding the Fourth Proportional to 3,428.92, 4,739.88 and 3,059.56

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Solution

The fourth proportional to 3,428.92, 4,739.88 and 3,059.56 is: 4,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.92 : 4,739.88 = 3,059.56 : x
  2. Step 2: Convert to fraction form
    3,428.92/4,739.88 = 3,059.56/x
  3. Step 3: Cross multiply
    3,428.92x = 4,739.88 × 3,059.56
  4. Step 4: Simplify right side
    3,428.92x = 14,501,947.25
  5. Step 5: Solve for x
    x = 14,501,947.25/3,428.92
  6. Step 6: Final answer
    x = 4,229.30

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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.