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Finding the Fourth Proportional to 6,441.39, 8,884.28 and 4,319.33

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Solution

The fourth proportional to 6,441.39, 8,884.28 and 4,319.33 is: 5,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.39 : 8,884.28 = 4,319.33 : x
  2. Step 2: Convert to fraction form
    6,441.39/8,884.28 = 4,319.33/x
  3. Step 3: Cross multiply
    6,441.39x = 8,884.28 × 4,319.33
  4. Step 4: Simplify right side
    6,441.39x = 38,374,103.51
  5. Step 5: Solve for x
    x = 38,374,103.51/6,441.39
  6. Step 6: Final answer
    x = 5,957.43

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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.