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Finding the Fourth Proportional to 3,836.84, 5,754.02 and 1,644.98

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Solution

The fourth proportional to 3,836.84, 5,754.02 and 1,644.98 is: 2,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.84 : 5,754.02 = 1,644.98 : x
  2. Step 2: Convert to fraction form
    3,836.84/5,754.02 = 1,644.98/x
  3. Step 3: Cross multiply
    3,836.84x = 5,754.02 × 1,644.98
  4. Step 4: Simplify right side
    3,836.84x = 9,465,210.82
  5. Step 5: Solve for x
    x = 9,465,210.82/3,836.84
  6. Step 6: Final answer
    x = 2,466.93

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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.