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Finding the Fourth Proportional to 3,920.71, 5,408.12 and 2,326.23

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Solution

The fourth proportional to 3,920.71, 5,408.12 and 2,326.23 is: 3,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.71 : 5,408.12 = 2,326.23 : x
  2. Step 2: Convert to fraction form
    3,920.71/5,408.12 = 2,326.23/x
  3. Step 3: Cross multiply
    3,920.71x = 5,408.12 × 2,326.23
  4. Step 4: Simplify right side
    3,920.71x = 12,580,519.92
  5. Step 5: Solve for x
    x = 12,580,519.92/3,920.71
  6. Step 6: Final answer
    x = 3,208.74

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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.