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Finding the Fourth Proportional to 4,546.32, 6,819.48 and 1,468.32

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Solution

The fourth proportional to 4,546.32, 6,819.48 and 1,468.32 is: 2,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.32 : 6,819.48 = 1,468.32 : x
  2. Step 2: Convert to fraction form
    4,546.32/6,819.48 = 1,468.32/x
  3. Step 3: Cross multiply
    4,546.32x = 6,819.48 × 1,468.32
  4. Step 4: Simplify right side
    4,546.32x = 10,013,178.87
  5. Step 5: Solve for x
    x = 10,013,178.87/4,546.32
  6. Step 6: Final answer
    x = 2,202.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.