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Finding the Fourth Proportional to 6,436.50, 8,882.46 and 3,952.50

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Solution

The fourth proportional to 6,436.50, 8,882.46 and 3,952.50 is: 5,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.50 : 8,882.46 = 3,952.50 : x
  2. Step 2: Convert to fraction form
    6,436.50/8,882.46 = 3,952.50/x
  3. Step 3: Cross multiply
    6,436.50x = 8,882.46 × 3,952.50
  4. Step 4: Simplify right side
    6,436.50x = 35,107,923.15
  5. Step 5: Solve for x
    x = 35,107,923.15/6,436.50
  6. Step 6: Final answer
    x = 5,454.51

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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.