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Finding the Fourth Proportional to 4,866.88, 6,716.64 and 3,004

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Solution

The fourth proportional to 4,866.88, 6,716.64 and 3,004 is: 4,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.88 : 6,716.64 = 3,004 : x
  2. Step 2: Convert to fraction form
    4,866.88/6,716.64 = 3,004/x
  3. Step 3: Cross multiply
    4,866.88x = 6,716.64 × 3,004
  4. Step 4: Simplify right side
    4,866.88x = 20,176,786.56
  5. Step 5: Solve for x
    x = 20,176,786.56/4,866.88
  6. Step 6: Final answer
    x = 4,145.73

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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.