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Finding the Fourth Proportional to 3,412.73, 5,114.73 and 1,462.97

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Solution

The fourth proportional to 3,412.73, 5,114.73 and 1,462.97 is: 2,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.73 : 5,114.73 = 1,462.97 : x
  2. Step 2: Convert to fraction form
    3,412.73/5,114.73 = 1,462.97/x
  3. Step 3: Cross multiply
    3,412.73x = 5,114.73 × 1,462.97
  4. Step 4: Simplify right side
    3,412.73x = 7,482,696.55
  5. Step 5: Solve for x
    x = 7,482,696.55/3,412.73
  6. Step 6: Final answer
    x = 2,192.58

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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.