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Finding the Fourth Proportional to 4,940.68, 6,817.98 and 2,702.50

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Solution

The fourth proportional to 4,940.68, 6,817.98 and 2,702.50 is: 3,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.68 : 6,817.98 = 2,702.50 : x
  2. Step 2: Convert to fraction form
    4,940.68/6,817.98 = 2,702.50/x
  3. Step 3: Cross multiply
    4,940.68x = 6,817.98 × 2,702.50
  4. Step 4: Simplify right side
    4,940.68x = 18,425,609.61
  5. Step 5: Solve for x
    x = 18,425,609.61/4,940.68
  6. Step 6: Final answer
    x = 3,729.37

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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.