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Finding the Fourth Proportional to 5,743.65, 7,926.97 and 3,505.05

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Solution

The fourth proportional to 5,743.65, 7,926.97 and 3,505.05 is: 4,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.65 : 7,926.97 = 3,505.05 : x
  2. Step 2: Convert to fraction form
    5,743.65/7,926.97 = 3,505.05/x
  3. Step 3: Cross multiply
    5,743.65x = 7,926.97 × 3,505.05
  4. Step 4: Simplify right side
    5,743.65x = 27,784,424.01
  5. Step 5: Solve for x
    x = 27,784,424.01/5,743.65
  6. Step 6: Final answer
    x = 4,837.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.