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Finding the Fourth Proportional to 3,836.93, 5,754.33 and 1,645.14

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Solution

The fourth proportional to 3,836.93, 5,754.33 and 1,645.14 is: 2,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.93 : 5,754.33 = 1,645.14 : x
  2. Step 2: Convert to fraction form
    3,836.93/5,754.33 = 1,645.14/x
  3. Step 3: Cross multiply
    3,836.93x = 5,754.33 × 1,645.14
  4. Step 4: Simplify right side
    3,836.93x = 9,466,678.46
  5. Step 5: Solve for x
    x = 9,466,678.46/3,836.93
  6. Step 6: Final answer
    x = 2,467.25

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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.