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Finding the Fourth Proportional to 3,856.49, 5,322.45 and 2,178.33

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Solution

The fourth proportional to 3,856.49, 5,322.45 and 2,178.33 is: 3,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.49 : 5,322.45 = 2,178.33 : x
  2. Step 2: Convert to fraction form
    3,856.49/5,322.45 = 2,178.33/x
  3. Step 3: Cross multiply
    3,856.49x = 5,322.45 × 2,178.33
  4. Step 4: Simplify right side
    3,856.49x = 11,594,052.51
  5. Step 5: Solve for x
    x = 11,594,052.51/3,856.49
  6. Step 6: Final answer
    x = 3,006.37

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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.