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Finding the Fourth Proportional to 3,662.93, 5,492.08 and 2,020.62

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Solution

The fourth proportional to 3,662.93, 5,492.08 and 2,020.62 is: 3,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.93 : 5,492.08 = 2,020.62 : x
  2. Step 2: Convert to fraction form
    3,662.93/5,492.08 = 2,020.62/x
  3. Step 3: Cross multiply
    3,662.93x = 5,492.08 × 2,020.62
  4. Step 4: Simplify right side
    3,662.93x = 11,097,409.22
  5. Step 5: Solve for x
    x = 11,097,409.22/3,662.93
  6. Step 6: Final answer
    x = 3,029.65

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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.