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Finding the Fourth Proportional to 5,743.71, 7,926.17 and 3,354.21

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Solution

The fourth proportional to 5,743.71, 7,926.17 and 3,354.21 is: 4,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.71 : 7,926.17 = 3,354.21 : x
  2. Step 2: Convert to fraction form
    5,743.71/7,926.17 = 3,354.21/x
  3. Step 3: Cross multiply
    5,743.71x = 7,926.17 × 3,354.21
  4. Step 4: Simplify right side
    5,743.71x = 26,586,021.90
  5. Step 5: Solve for x
    x = 26,586,021.90/5,743.71
  6. Step 6: Final answer
    x = 4,628.72

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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.