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Finding the Fourth Proportional to 7,228.38, 9,975.46 and 4,084.56

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Solution

The fourth proportional to 7,228.38, 9,975.46 and 4,084.56 is: 5,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.38 : 9,975.46 = 4,084.56 : x
  2. Step 2: Convert to fraction form
    7,228.38/9,975.46 = 4,084.56/x
  3. Step 3: Cross multiply
    7,228.38x = 9,975.46 × 4,084.56
  4. Step 4: Simplify right side
    7,228.38x = 40,745,364.90
  5. Step 5: Solve for x
    x = 40,745,364.90/7,228.38
  6. Step 6: Final answer
    x = 5,636.86

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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.