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Finding the Fourth Proportional to 4,109.84, 5,682.39 and 3,926.24

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Solution

The fourth proportional to 4,109.84, 5,682.39 and 3,926.24 is: 5,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.84 : 5,682.39 = 3,926.24 : x
  2. Step 2: Convert to fraction form
    4,109.84/5,682.39 = 3,926.24/x
  3. Step 3: Cross multiply
    4,109.84x = 5,682.39 × 3,926.24
  4. Step 4: Simplify right side
    4,109.84x = 22,310,426.91
  5. Step 5: Solve for x
    x = 22,310,426.91/4,109.84
  6. Step 6: Final answer
    x = 5,428.54

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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.