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Finding the Fourth Proportional to 3,902.41, 5,849.56 and 2,497.82

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Solution

The fourth proportional to 3,902.41, 5,849.56 and 2,497.82 is: 3,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.41 : 5,849.56 = 2,497.82 : x
  2. Step 2: Convert to fraction form
    3,902.41/5,849.56 = 2,497.82/x
  3. Step 3: Cross multiply
    3,902.41x = 5,849.56 × 2,497.82
  4. Step 4: Simplify right side
    3,902.41x = 14,611,147.96
  5. Step 5: Solve for x
    x = 14,611,147.96/3,902.41
  6. Step 6: Final answer
    x = 3,744.13

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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.