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Finding the Fourth Proportional to 4,231.56, 6,346.80 and 1,309.80

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Solution

The fourth proportional to 4,231.56, 6,346.80 and 1,309.80 is: 1,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.56 : 6,346.80 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    4,231.56/6,346.80 = 1,309.80/x
  3. Step 3: Cross multiply
    4,231.56x = 6,346.80 × 1,309.80
  4. Step 4: Simplify right side
    4,231.56x = 8,313,038.64
  5. Step 5: Solve for x
    x = 8,313,038.64/4,231.56
  6. Step 6: Final answer
    x = 1,964.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.