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Finding the Fourth Proportional to 4,852.69, 7,282.69 and 3,890.41

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Solution

The fourth proportional to 4,852.69, 7,282.69 and 3,890.41 is: 5,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.69 : 7,282.69 = 3,890.41 : x
  2. Step 2: Convert to fraction form
    4,852.69/7,282.69 = 3,890.41/x
  3. Step 3: Cross multiply
    4,852.69x = 7,282.69 × 3,890.41
  4. Step 4: Simplify right side
    4,852.69x = 28,332,622.07
  5. Step 5: Solve for x
    x = 28,332,622.07/4,852.69
  6. Step 6: Final answer
    x = 5,838.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.