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Finding the Fourth Proportional to 3,709.80, 5,566.34 and 1,954.38

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Solution

The fourth proportional to 3,709.80, 5,566.34 and 1,954.38 is: 2,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.80 : 5,566.34 = 1,954.38 : x
  2. Step 2: Convert to fraction form
    3,709.80/5,566.34 = 1,954.38/x
  3. Step 3: Cross multiply
    3,709.80x = 5,566.34 × 1,954.38
  4. Step 4: Simplify right side
    3,709.80x = 10,878,743.57
  5. Step 5: Solve for x
    x = 10,878,743.57/3,709.80
  6. Step 6: Final answer
    x = 2,932.43

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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.