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Finding the Fourth Proportional to 5,344.92, 7,374.02 and 3,354.76

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Solution

The fourth proportional to 5,344.92, 7,374.02 and 3,354.76 is: 4,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.92 : 7,374.02 = 3,354.76 : x
  2. Step 2: Convert to fraction form
    5,344.92/7,374.02 = 3,354.76/x
  3. Step 3: Cross multiply
    5,344.92x = 7,374.02 × 3,354.76
  4. Step 4: Simplify right side
    5,344.92x = 24,738,067.34
  5. Step 5: Solve for x
    x = 24,738,067.34/5,344.92
  6. Step 6: Final answer
    x = 4,628.33

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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.