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Finding the Fourth Proportional to 3,601.97, 4,970.70 and 2,481

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Solution

The fourth proportional to 3,601.97, 4,970.70 and 2,481 is: 3,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.97 : 4,970.70 = 2,481 : x
  2. Step 2: Convert to fraction form
    3,601.97/4,970.70 = 2,481/x
  3. Step 3: Cross multiply
    3,601.97x = 4,970.70 × 2,481
  4. Step 4: Simplify right side
    3,601.97x = 12,332,306.70
  5. Step 5: Solve for x
    x = 12,332,306.70/3,601.97
  6. Step 6: Final answer
    x = 3,423.77

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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.