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Finding the Fourth Proportional to 3,677.70, 5,076.09 and 2,420.46

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Solution

The fourth proportional to 3,677.70, 5,076.09 and 2,420.46 is: 3,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.70 : 5,076.09 = 2,420.46 : x
  2. Step 2: Convert to fraction form
    3,677.70/5,076.09 = 2,420.46/x
  3. Step 3: Cross multiply
    3,677.70x = 5,076.09 × 2,420.46
  4. Step 4: Simplify right side
    3,677.70x = 12,286,472.80
  5. Step 5: Solve for x
    x = 12,286,472.80/3,677.70
  6. Step 6: Final answer
    x = 3,340.80

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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.