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Finding the Fourth Proportional to 5,612.46, 7,744.83 and 3,094.42

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Solution

The fourth proportional to 5,612.46, 7,744.83 and 3,094.42 is: 4,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.46 : 7,744.83 = 3,094.42 : x
  2. Step 2: Convert to fraction form
    5,612.46/7,744.83 = 3,094.42/x
  3. Step 3: Cross multiply
    5,612.46x = 7,744.83 × 3,094.42
  4. Step 4: Simplify right side
    5,612.46x = 23,965,756.85
  5. Step 5: Solve for x
    x = 23,965,756.85/5,612.46
  6. Step 6: Final answer
    x = 4,270.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.