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Finding the Fourth Proportional to 6,355.80, 8,769.36 and 3,835.92

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Solution

The fourth proportional to 6,355.80, 8,769.36 and 3,835.92 is: 5,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.80 : 8,769.36 = 3,835.92 : x
  2. Step 2: Convert to fraction form
    6,355.80/8,769.36 = 3,835.92/x
  3. Step 3: Cross multiply
    6,355.80x = 8,769.36 × 3,835.92
  4. Step 4: Simplify right side
    6,355.80x = 33,638,563.41
  5. Step 5: Solve for x
    x = 33,638,563.41/6,355.80
  6. Step 6: Final answer
    x = 5,292.58

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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.