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Finding the Fourth Proportional to 3,832.39, 5,288.71 and 2,154.37

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Solution

The fourth proportional to 3,832.39, 5,288.71 and 2,154.37 is: 2,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.39 : 5,288.71 = 2,154.37 : x
  2. Step 2: Convert to fraction form
    3,832.39/5,288.71 = 2,154.37/x
  3. Step 3: Cross multiply
    3,832.39x = 5,288.71 × 2,154.37
  4. Step 4: Simplify right side
    3,832.39x = 11,393,833.51
  5. Step 5: Solve for x
    x = 11,393,833.51/3,832.39
  6. Step 6: Final answer
    x = 2,973.04

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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.