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Finding the Fourth Proportional to 4,765.88, 6,578.10 and 3,175.17

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Solution

The fourth proportional to 4,765.88, 6,578.10 and 3,175.17 is: 4,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.88 : 6,578.10 = 3,175.17 : x
  2. Step 2: Convert to fraction form
    4,765.88/6,578.10 = 3,175.17/x
  3. Step 3: Cross multiply
    4,765.88x = 6,578.10 × 3,175.17
  4. Step 4: Simplify right side
    4,765.88x = 20,886,585.78
  5. Step 5: Solve for x
    x = 20,886,585.78/4,765.88
  6. Step 6: Final answer
    x = 4,382.53

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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.