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Finding the Fourth Proportional to 3,921.22, 5,406.92 and 3,830.50

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Solution

The fourth proportional to 3,921.22, 5,406.92 and 3,830.50 is: 5,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.22 : 5,406.92 = 3,830.50 : x
  2. Step 2: Convert to fraction form
    3,921.22/5,406.92 = 3,830.50/x
  3. Step 3: Cross multiply
    3,921.22x = 5,406.92 × 3,830.50
  4. Step 4: Simplify right side
    3,921.22x = 20,711,180.03
  5. Step 5: Solve for x
    x = 20,711,180.03/3,921.22
  6. Step 6: Final answer
    x = 5,281.83

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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.