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Finding the Fourth Proportional to 3,971.76, 5,928.22 and 3,504.75

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Solution

The fourth proportional to 3,971.76, 5,928.22 and 3,504.75 is: 5,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.76 : 5,928.22 = 3,504.75 : x
  2. Step 2: Convert to fraction form
    3,971.76/5,928.22 = 3,504.75/x
  3. Step 3: Cross multiply
    3,971.76x = 5,928.22 × 3,504.75
  4. Step 4: Simplify right side
    3,971.76x = 20,776,929.05
  5. Step 5: Solve for x
    x = 20,776,929.05/3,971.76
  6. Step 6: Final answer
    x = 5,231.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.