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Finding the Fourth Proportional to 5,793.09, 7,994.45 and 3,140.49

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Solution

The fourth proportional to 5,793.09, 7,994.45 and 3,140.49 is: 4,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.09 : 7,994.45 = 3,140.49 : x
  2. Step 2: Convert to fraction form
    5,793.09/7,994.45 = 3,140.49/x
  3. Step 3: Cross multiply
    5,793.09x = 7,994.45 × 3,140.49
  4. Step 4: Simplify right side
    5,793.09x = 25,106,474.58
  5. Step 5: Solve for x
    x = 25,106,474.58/5,793.09
  6. Step 6: Final answer
    x = 4,333.87

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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.