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Finding the Fourth Proportional to 5,576.80, 7,689.18 and 4,912.60

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Solution

The fourth proportional to 5,576.80, 7,689.18 and 4,912.60 is: 6,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.80 : 7,689.18 = 4,912.60 : x
  2. Step 2: Convert to fraction form
    5,576.80/7,689.18 = 4,912.60/x
  3. Step 3: Cross multiply
    5,576.80x = 7,689.18 × 4,912.60
  4. Step 4: Simplify right side
    5,576.80x = 37,773,865.67
  5. Step 5: Solve for x
    x = 37,773,865.67/5,576.80
  6. Step 6: Final answer
    x = 6,773.39

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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.