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Finding the Fourth Proportional to 5,949.36, 8,212.32 and 3,713.40

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Solution

The fourth proportional to 5,949.36, 8,212.32 and 3,713.40 is: 5,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.36 : 8,212.32 = 3,713.40 : x
  2. Step 2: Convert to fraction form
    5,949.36/8,212.32 = 3,713.40/x
  3. Step 3: Cross multiply
    5,949.36x = 8,212.32 × 3,713.40
  4. Step 4: Simplify right side
    5,949.36x = 30,495,629.09
  5. Step 5: Solve for x
    x = 30,495,629.09/5,949.36
  6. Step 6: Final answer
    x = 5,125.87

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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.