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Finding the Fourth Proportional to 6,322.46, 8,724.96 and 3,527.96

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Solution

The fourth proportional to 6,322.46, 8,724.96 and 3,527.96 is: 4,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.46 : 8,724.96 = 3,527.96 : x
  2. Step 2: Convert to fraction form
    6,322.46/8,724.96 = 3,527.96/x
  3. Step 3: Cross multiply
    6,322.46x = 8,724.96 × 3,527.96
  4. Step 4: Simplify right side
    6,322.46x = 30,781,309.88
  5. Step 5: Solve for x
    x = 30,781,309.88/6,322.46
  6. Step 6: Final answer
    x = 4,868.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.