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Finding the Fourth Proportional to 3,966.74, 5,949.27 and 2,503.94

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Solution

The fourth proportional to 3,966.74, 5,949.27 and 2,503.94 is: 3,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.74 : 5,949.27 = 2,503.94 : x
  2. Step 2: Convert to fraction form
    3,966.74/5,949.27 = 2,503.94/x
  3. Step 3: Cross multiply
    3,966.74x = 5,949.27 × 2,503.94
  4. Step 4: Simplify right side
    3,966.74x = 14,896,615.12
  5. Step 5: Solve for x
    x = 14,896,615.12/3,966.74
  6. Step 6: Final answer
    x = 3,755.38

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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.