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Finding the Fourth Proportional to 5,671.32, 7,825.84 and 3,313.16

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Solution

The fourth proportional to 5,671.32, 7,825.84 and 3,313.16 is: 4,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.32 : 7,825.84 = 3,313.16 : x
  2. Step 2: Convert to fraction form
    5,671.32/7,825.84 = 3,313.16/x
  3. Step 3: Cross multiply
    5,671.32x = 7,825.84 × 3,313.16
  4. Step 4: Simplify right side
    5,671.32x = 25,928,260.05
  5. Step 5: Solve for x
    x = 25,928,260.05/5,671.32
  6. Step 6: Final answer
    x = 4,571.82

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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.