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Finding the Fourth Proportional to 3,994.78, 5,986.70 and 2,531.31

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Solution

The fourth proportional to 3,994.78, 5,986.70 and 2,531.31 is: 3,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.78 : 5,986.70 = 2,531.31 : x
  2. Step 2: Convert to fraction form
    3,994.78/5,986.70 = 2,531.31/x
  3. Step 3: Cross multiply
    3,994.78x = 5,986.70 × 2,531.31
  4. Step 4: Simplify right side
    3,994.78x = 15,154,193.58
  5. Step 5: Solve for x
    x = 15,154,193.58/3,994.78
  6. Step 6: Final answer
    x = 3,793.50

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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.