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Finding the Fourth Proportional to 3,566.43, 4,921.43 and 1,994.49

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Solution

The fourth proportional to 3,566.43, 4,921.43 and 1,994.49 is: 2,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.43 : 4,921.43 = 1,994.49 : x
  2. Step 2: Convert to fraction form
    3,566.43/4,921.43 = 1,994.49/x
  3. Step 3: Cross multiply
    3,566.43x = 4,921.43 × 1,994.49
  4. Step 4: Simplify right side
    3,566.43x = 9,815,732.95
  5. Step 5: Solve for x
    x = 9,815,732.95/3,566.43
  6. Step 6: Final answer
    x = 2,752.26

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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.