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Finding the Fourth Proportional to 4,797.65, 6,619.37 and 3,029.82

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Solution

The fourth proportional to 4,797.65, 6,619.37 and 3,029.82 is: 4,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.65 : 6,619.37 = 3,029.82 : x
  2. Step 2: Convert to fraction form
    4,797.65/6,619.37 = 3,029.82/x
  3. Step 3: Cross multiply
    4,797.65x = 6,619.37 × 3,029.82
  4. Step 4: Simplify right side
    4,797.65x = 20,055,484.46
  5. Step 5: Solve for x
    x = 20,055,484.46/4,797.65
  6. Step 6: Final answer
    x = 4,180.28

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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.