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Finding the Fourth Proportional to 3,836.09, 5,754.08 and 1,062.74

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Solution

The fourth proportional to 3,836.09, 5,754.08 and 1,062.74 is: 1,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.09 : 5,754.08 = 1,062.74 : x
  2. Step 2: Convert to fraction form
    3,836.09/5,754.08 = 1,062.74/x
  3. Step 3: Cross multiply
    3,836.09x = 5,754.08 × 1,062.74
  4. Step 4: Simplify right side
    3,836.09x = 6,115,056.90
  5. Step 5: Solve for x
    x = 6,115,056.90/3,836.09
  6. Step 6: Final answer
    x = 1,594.09

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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.