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Finding the Fourth Proportional to 4,846.38, 6,684.33 and 4,175.32

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Solution

The fourth proportional to 4,846.38, 6,684.33 and 4,175.32 is: 5,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.38 : 6,684.33 = 4,175.32 : x
  2. Step 2: Convert to fraction form
    4,846.38/6,684.33 = 4,175.32/x
  3. Step 3: Cross multiply
    4,846.38x = 6,684.33 × 4,175.32
  4. Step 4: Simplify right side
    4,846.38x = 27,909,216.74
  5. Step 5: Solve for x
    x = 27,909,216.74/4,846.38
  6. Step 6: Final answer
    x = 5,758.78

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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.