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Finding the Fourth Proportional to 4,757.70, 7,137.20 and 4,495.38

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Solution

The fourth proportional to 4,757.70, 7,137.20 and 4,495.38 is: 6,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.70 : 7,137.20 = 4,495.38 : x
  2. Step 2: Convert to fraction form
    4,757.70/7,137.20 = 4,495.38/x
  3. Step 3: Cross multiply
    4,757.70x = 7,137.20 × 4,495.38
  4. Step 4: Simplify right side
    4,757.70x = 32,084,403.66
  5. Step 5: Solve for x
    x = 32,084,403.66/4,757.70
  6. Step 6: Final answer
    x = 6,743.68

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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.