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Finding the Fourth Proportional to 3,278.49, 4,527.99 and 2,214.39

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Solution

The fourth proportional to 3,278.49, 4,527.99 and 2,214.39 is: 3,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.49 : 4,527.99 = 2,214.39 : x
  2. Step 2: Convert to fraction form
    3,278.49/4,527.99 = 2,214.39/x
  3. Step 3: Cross multiply
    3,278.49x = 4,527.99 × 2,214.39
  4. Step 4: Simplify right side
    3,278.49x = 10,026,735.78
  5. Step 5: Solve for x
    x = 10,026,735.78/3,278.49
  6. Step 6: Final answer
    x = 3,058.34

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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.