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Finding the Fourth Proportional to 6,326, 8,729.88 and 4,235.12

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Solution

The fourth proportional to 6,326, 8,729.88 and 4,235.12 is: 5,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326 : 8,729.88 = 4,235.12 : x
  2. Step 2: Convert to fraction form
    6,326/8,729.88 = 4,235.12/x
  3. Step 3: Cross multiply
    6,326x = 8,729.88 × 4,235.12
  4. Step 4: Simplify right side
    6,326x = 36,972,089.39
  5. Step 5: Solve for x
    x = 36,972,089.39/6,326
  6. Step 6: Final answer
    x = 5,844.47

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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.