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Finding the Fourth Proportional to 6,126.80, 8,456.52 and 3,475.80

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Solution

The fourth proportional to 6,126.80, 8,456.52 and 3,475.80 is: 4,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.80 : 8,456.52 = 3,475.80 : x
  2. Step 2: Convert to fraction form
    6,126.80/8,456.52 = 3,475.80/x
  3. Step 3: Cross multiply
    6,126.80x = 8,456.52 × 3,475.80
  4. Step 4: Simplify right side
    6,126.80x = 29,393,172.22
  5. Step 5: Solve for x
    x = 29,393,172.22/6,126.80
  6. Step 6: Final answer
    x = 4,797.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.