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Finding the Fourth Proportional to 3,744.01, 5,166.96 and 2,065.42

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Solution

The fourth proportional to 3,744.01, 5,166.96 and 2,065.42 is: 2,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.01 : 5,166.96 = 2,065.42 : x
  2. Step 2: Convert to fraction form
    3,744.01/5,166.96 = 2,065.42/x
  3. Step 3: Cross multiply
    3,744.01x = 5,166.96 × 2,065.42
  4. Step 4: Simplify right side
    3,744.01x = 10,671,942.52
  5. Step 5: Solve for x
    x = 10,671,942.52/3,744.01
  6. Step 6: Final answer
    x = 2,850.40

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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.