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Finding the Fourth Proportional to 4,604.94, 6,351.06 and 4,006.38

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Solution

The fourth proportional to 4,604.94, 6,351.06 and 4,006.38 is: 5,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.94 : 6,351.06 = 4,006.38 : x
  2. Step 2: Convert to fraction form
    4,604.94/6,351.06 = 4,006.38/x
  3. Step 3: Cross multiply
    4,604.94x = 6,351.06 × 4,006.38
  4. Step 4: Simplify right side
    4,604.94x = 25,444,759.76
  5. Step 5: Solve for x
    x = 25,444,759.76/4,604.94
  6. Step 6: Final answer
    x = 5,525.54

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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.