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Finding the Fourth Proportional to 3,836.22, 5,754.54 and 1,643.46

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Solution

The fourth proportional to 3,836.22, 5,754.54 and 1,643.46 is: 2,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.22 : 5,754.54 = 1,643.46 : x
  2. Step 2: Convert to fraction form
    3,836.22/5,754.54 = 1,643.46/x
  3. Step 3: Cross multiply
    3,836.22x = 5,754.54 × 1,643.46
  4. Step 4: Simplify right side
    3,836.22x = 9,457,356.31
  5. Step 5: Solve for x
    x = 9,457,356.31/3,836.22
  6. Step 6: Final answer
    x = 2,465.28

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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.