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Finding the Fourth Proportional to 3,481.02, 5,225.04 and 2,023.02

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Solution

The fourth proportional to 3,481.02, 5,225.04 and 2,023.02 is: 3,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.02 : 5,225.04 = 2,023.02 : x
  2. Step 2: Convert to fraction form
    3,481.02/5,225.04 = 2,023.02/x
  3. Step 3: Cross multiply
    3,481.02x = 5,225.04 × 2,023.02
  4. Step 4: Simplify right side
    3,481.02x = 10,570,360.42
  5. Step 5: Solve for x
    x = 10,570,360.42/3,481.02
  6. Step 6: Final answer
    x = 3,036.57

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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.