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Finding the Fourth Proportional to 4,313.64, 6,471.27 and 1,391.16

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Solution

The fourth proportional to 4,313.64, 6,471.27 and 1,391.16 is: 2,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.64 : 6,471.27 = 1,391.16 : x
  2. Step 2: Convert to fraction form
    4,313.64/6,471.27 = 1,391.16/x
  3. Step 3: Cross multiply
    4,313.64x = 6,471.27 × 1,391.16
  4. Step 4: Simplify right side
    4,313.64x = 9,002,571.97
  5. Step 5: Solve for x
    x = 9,002,571.97/4,313.64
  6. Step 6: Final answer
    x = 2,087.00

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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.