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Finding the Fourth Proportional to 3,497.98, 4,825.76 and 2,081.38

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Solution

The fourth proportional to 3,497.98, 4,825.76 and 2,081.38 is: 2,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.98 : 4,825.76 = 2,081.38 : x
  2. Step 2: Convert to fraction form
    3,497.98/4,825.76 = 2,081.38/x
  3. Step 3: Cross multiply
    3,497.98x = 4,825.76 × 2,081.38
  4. Step 4: Simplify right side
    3,497.98x = 10,044,240.35
  5. Step 5: Solve for x
    x = 10,044,240.35/3,497.98
  6. Step 6: Final answer
    x = 2,871.44

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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.