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Finding the Fourth Proportional to 4,922.72, 7,384.96 and 1,636.02

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Solution

The fourth proportional to 4,922.72, 7,384.96 and 1,636.02 is: 2,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.72 : 7,384.96 = 1,636.02 : x
  2. Step 2: Convert to fraction form
    4,922.72/7,384.96 = 1,636.02/x
  3. Step 3: Cross multiply
    4,922.72x = 7,384.96 × 1,636.02
  4. Step 4: Simplify right side
    4,922.72x = 12,081,942.26
  5. Step 5: Solve for x
    x = 12,081,942.26/4,922.72
  6. Step 6: Final answer
    x = 2,454.32

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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.