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Finding the Fourth Proportional to 3,121.32, 4,674.62 and 2,902.62

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Solution

The fourth proportional to 3,121.32, 4,674.62 and 2,902.62 is: 4,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.32 : 4,674.62 = 2,902.62 : x
  2. Step 2: Convert to fraction form
    3,121.32/4,674.62 = 2,902.62/x
  3. Step 3: Cross multiply
    3,121.32x = 4,674.62 × 2,902.62
  4. Step 4: Simplify right side
    3,121.32x = 13,568,645.50
  5. Step 5: Solve for x
    x = 13,568,645.50/3,121.32
  6. Step 6: Final answer
    x = 4,347.09

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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.