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Finding the Fourth Proportional to 3,797.65, 5,693.10 and 2,043.61

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Solution

The fourth proportional to 3,797.65, 5,693.10 and 2,043.61 is: 3,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.65 : 5,693.10 = 2,043.61 : x
  2. Step 2: Convert to fraction form
    3,797.65/5,693.10 = 2,043.61/x
  3. Step 3: Cross multiply
    3,797.65x = 5,693.10 × 2,043.61
  4. Step 4: Simplify right side
    3,797.65x = 11,634,476.09
  5. Step 5: Solve for x
    x = 11,634,476.09/3,797.65
  6. Step 6: Final answer
    x = 3,063.60

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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.