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Finding the Fourth Proportional to 5,865.40, 8,094.06 and 3,212.56

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Solution

The fourth proportional to 5,865.40, 8,094.06 and 3,212.56 is: 4,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.40 : 8,094.06 = 3,212.56 : x
  2. Step 2: Convert to fraction form
    5,865.40/8,094.06 = 3,212.56/x
  3. Step 3: Cross multiply
    5,865.40x = 8,094.06 × 3,212.56
  4. Step 4: Simplify right side
    5,865.40x = 26,002,653.39
  5. Step 5: Solve for x
    x = 26,002,653.39/5,865.40
  6. Step 6: Final answer
    x = 4,433.23

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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.