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Finding the Fourth Proportional to 6,342.39, 8,751.78 and 3,509.37

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Solution

The fourth proportional to 6,342.39, 8,751.78 and 3,509.37 is: 4,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.39 : 8,751.78 = 3,509.37 : x
  2. Step 2: Convert to fraction form
    6,342.39/8,751.78 = 3,509.37/x
  3. Step 3: Cross multiply
    6,342.39x = 8,751.78 × 3,509.37
  4. Step 4: Simplify right side
    6,342.39x = 30,713,234.18
  5. Step 5: Solve for x
    x = 30,713,234.18/6,342.39
  6. Step 6: Final answer
    x = 4,842.53

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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.