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Finding the Fourth Proportional to 5,743.24, 7,926.41 and 3,504.64

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Solution

The fourth proportional to 5,743.24, 7,926.41 and 3,504.64 is: 4,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.24 : 7,926.41 = 3,504.64 : x
  2. Step 2: Convert to fraction form
    5,743.24/7,926.41 = 3,504.64/x
  3. Step 3: Cross multiply
    5,743.24x = 7,926.41 × 3,504.64
  4. Step 4: Simplify right side
    5,743.24x = 27,779,213.54
  5. Step 5: Solve for x
    x = 27,779,213.54/5,743.24
  6. Step 6: Final answer
    x = 4,836.85

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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.