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Finding the Fourth Proportional to 3,216.44, 4,817.76 and 2,865.92

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Solution

The fourth proportional to 3,216.44, 4,817.76 and 2,865.92 is: 4,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.44 : 4,817.76 = 2,865.92 : x
  2. Step 2: Convert to fraction form
    3,216.44/4,817.76 = 2,865.92/x
  3. Step 3: Cross multiply
    3,216.44x = 4,817.76 × 2,865.92
  4. Step 4: Simplify right side
    3,216.44x = 13,807,314.74
  5. Step 5: Solve for x
    x = 13,807,314.74/3,216.44
  6. Step 6: Final answer
    x = 4,292.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.