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Finding the Fourth Proportional to 3,927.84, 5,883.48 and 2,689.44

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Solution

The fourth proportional to 3,927.84, 5,883.48 and 2,689.44 is: 4,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.84 : 5,883.48 = 2,689.44 : x
  2. Step 2: Convert to fraction form
    3,927.84/5,883.48 = 2,689.44/x
  3. Step 3: Cross multiply
    3,927.84x = 5,883.48 × 2,689.44
  4. Step 4: Simplify right side
    3,927.84x = 15,823,266.45
  5. Step 5: Solve for x
    x = 15,823,266.45/3,927.84
  6. Step 6: Final answer
    x = 4,028.49

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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.