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Finding the Fourth Proportional to 3,396, 5,095.55 and 2,012.07

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Solution

The fourth proportional to 3,396, 5,095.55 and 2,012.07 is: 3,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396 : 5,095.55 = 2,012.07 : x
  2. Step 2: Convert to fraction form
    3,396/5,095.55 = 2,012.07/x
  3. Step 3: Cross multiply
    3,396x = 5,095.55 × 2,012.07
  4. Step 4: Simplify right side
    3,396x = 10,252,593.23
  5. Step 5: Solve for x
    x = 10,252,593.23/3,396
  6. Step 6: Final answer
    x = 3,019.02

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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.