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Finding the Fourth Proportional to 4,635.88, 6,949.86 and 2,294.80

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Solution

The fourth proportional to 4,635.88, 6,949.86 and 2,294.80 is: 3,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.88 : 6,949.86 = 2,294.80 : x
  2. Step 2: Convert to fraction form
    4,635.88/6,949.86 = 2,294.80/x
  3. Step 3: Cross multiply
    4,635.88x = 6,949.86 × 2,294.80
  4. Step 4: Simplify right side
    4,635.88x = 15,948,538.73
  5. Step 5: Solve for x
    x = 15,948,538.73/4,635.88
  6. Step 6: Final answer
    x = 3,440.24

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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.