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Finding the Fourth Proportional to 4,546.02, 6,819.06 and 1,468.02

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Solution

The fourth proportional to 4,546.02, 6,819.06 and 1,468.02 is: 2,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.02 : 6,819.06 = 1,468.02 : x
  2. Step 2: Convert to fraction form
    4,546.02/6,819.06 = 1,468.02/x
  3. Step 3: Cross multiply
    4,546.02x = 6,819.06 × 1,468.02
  4. Step 4: Simplify right side
    4,546.02x = 10,010,516.46
  5. Step 5: Solve for x
    x = 10,010,516.46/4,546.02
  6. Step 6: Final answer
    x = 2,202.04

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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.