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Finding the Fourth Proportional to 6,378.40, 9,571.29 and 2,680.30

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Solution

The fourth proportional to 6,378.40, 9,571.29 and 2,680.30 is: 4,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.40 : 9,571.29 = 2,680.30 : x
  2. Step 2: Convert to fraction form
    6,378.40/9,571.29 = 2,680.30/x
  3. Step 3: Cross multiply
    6,378.40x = 9,571.29 × 2,680.30
  4. Step 4: Simplify right side
    6,378.40x = 25,653,928.59
  5. Step 5: Solve for x
    x = 25,653,928.59/6,378.40
  6. Step 6: Final answer
    x = 4,022.00

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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.