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Finding the Fourth Proportional to 5,566.56, 7,680.24 and 3,469.92

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Solution

The fourth proportional to 5,566.56, 7,680.24 and 3,469.92 is: 4,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.56 : 7,680.24 = 3,469.92 : x
  2. Step 2: Convert to fraction form
    5,566.56/7,680.24 = 3,469.92/x
  3. Step 3: Cross multiply
    5,566.56x = 7,680.24 × 3,469.92
  4. Step 4: Simplify right side
    5,566.56x = 26,649,818.38
  5. Step 5: Solve for x
    x = 26,649,818.38/5,566.56
  6. Step 6: Final answer
    x = 4,787.48

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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.