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Finding the Fourth Proportional to 3,546.29, 4,883.32 and 3,467.62

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Solution

The fourth proportional to 3,546.29, 4,883.32 and 3,467.62 is: 4,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.29 : 4,883.32 = 3,467.62 : x
  2. Step 2: Convert to fraction form
    3,546.29/4,883.32 = 3,467.62/x
  3. Step 3: Cross multiply
    3,546.29x = 4,883.32 × 3,467.62
  4. Step 4: Simplify right side
    3,546.29x = 16,933,499.38
  5. Step 5: Solve for x
    x = 16,933,499.38/3,546.29
  6. Step 6: Final answer
    x = 4,774.98

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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.