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Finding the Fourth Proportional to 4,313.38, 6,471.44 and 1,539.99

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Solution

The fourth proportional to 4,313.38, 6,471.44 and 1,539.99 is: 2,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.38 : 6,471.44 = 1,539.99 : x
  2. Step 2: Convert to fraction form
    4,313.38/6,471.44 = 1,539.99/x
  3. Step 3: Cross multiply
    4,313.38x = 6,471.44 × 1,539.99
  4. Step 4: Simplify right side
    4,313.38x = 9,965,969.06
  5. Step 5: Solve for x
    x = 9,965,969.06/4,313.38
  6. Step 6: Final answer
    x = 2,310.48

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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.