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Finding the Fourth Proportional to 3,456, 4,769.28 and 2,214

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Solution

The fourth proportional to 3,456, 4,769.28 and 2,214 is: 3,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,769.28 = 2,214 : x
  2. Step 2: Convert to fraction form
    3,456/4,769.28 = 2,214/x
  3. Step 3: Cross multiply
    3,456x = 4,769.28 × 2,214
  4. Step 4: Simplify right side
    3,456x = 10,559,185.92
  5. Step 5: Solve for x
    x = 10,559,185.92/3,456
  6. Step 6: Final answer
    x = 3,055.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.