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Finding the Fourth Proportional to 4,608.69, 6,898.11 and 2,497.42

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Solution

The fourth proportional to 4,608.69, 6,898.11 and 2,497.42 is: 3,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.69 : 6,898.11 = 2,497.42 : x
  2. Step 2: Convert to fraction form
    4,608.69/6,898.11 = 2,497.42/x
  3. Step 3: Cross multiply
    4,608.69x = 6,898.11 × 2,497.42
  4. Step 4: Simplify right side
    4,608.69x = 17,227,477.88
  5. Step 5: Solve for x
    x = 17,227,477.88/4,608.69
  6. Step 6: Final answer
    x = 3,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.