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Finding the Fourth Proportional to 4,630.90, 6,938.94 and 3,308.44

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Solution

The fourth proportional to 4,630.90, 6,938.94 and 3,308.44 is: 4,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.90 : 6,938.94 = 3,308.44 : x
  2. Step 2: Convert to fraction form
    4,630.90/6,938.94 = 3,308.44/x
  3. Step 3: Cross multiply
    4,630.90x = 6,938.94 × 3,308.44
  4. Step 4: Simplify right side
    4,630.90x = 22,957,066.65
  5. Step 5: Solve for x
    x = 22,957,066.65/4,630.90
  6. Step 6: Final answer
    x = 4,957.37

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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.