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Finding the Fourth Proportional to 3,536.46, 4,878.36 and 2,119.23

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Solution

The fourth proportional to 3,536.46, 4,878.36 and 2,119.23 is: 2,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.46 : 4,878.36 = 2,119.23 : x
  2. Step 2: Convert to fraction form
    3,536.46/4,878.36 = 2,119.23/x
  3. Step 3: Cross multiply
    3,536.46x = 4,878.36 × 2,119.23
  4. Step 4: Simplify right side
    3,536.46x = 10,338,366.86
  5. Step 5: Solve for x
    x = 10,338,366.86/3,536.46
  6. Step 6: Final answer
    x = 2,923.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.