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Finding the Fourth Proportional to 3,094.43, 4,617.56 and 2,974.49

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Solution

The fourth proportional to 3,094.43, 4,617.56 and 2,974.49 is: 4,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.43 : 4,617.56 = 2,974.49 : x
  2. Step 2: Convert to fraction form
    3,094.43/4,617.56 = 2,974.49/x
  3. Step 3: Cross multiply
    3,094.43x = 4,617.56 × 2,974.49
  4. Step 4: Simplify right side
    3,094.43x = 13,734,890.13
  5. Step 5: Solve for x
    x = 13,734,890.13/3,094.43
  6. Step 6: Final answer
    x = 4,438.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.