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Finding the Fourth Proportional to 4,694.70, 7,032.60 and 2,934.30

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Solution

The fourth proportional to 4,694.70, 7,032.60 and 2,934.30 is: 4,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.70 : 7,032.60 = 2,934.30 : x
  2. Step 2: Convert to fraction form
    4,694.70/7,032.60 = 2,934.30/x
  3. Step 3: Cross multiply
    4,694.70x = 7,032.60 × 2,934.30
  4. Step 4: Simplify right side
    4,694.70x = 20,635,758.18
  5. Step 5: Solve for x
    x = 20,635,758.18/4,694.70
  6. Step 6: Final answer
    x = 4,395.54

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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.