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Finding the Fourth Proportional to 3,273.87, 4,907.16 and 1,425.87

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Solution

The fourth proportional to 3,273.87, 4,907.16 and 1,425.87 is: 2,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.87 : 4,907.16 = 1,425.87 : x
  2. Step 2: Convert to fraction form
    3,273.87/4,907.16 = 1,425.87/x
  3. Step 3: Cross multiply
    3,273.87x = 4,907.16 × 1,425.87
  4. Step 4: Simplify right side
    3,273.87x = 6,996,972.23
  5. Step 5: Solve for x
    x = 6,996,972.23/3,273.87
  6. Step 6: Final answer
    x = 2,137.22

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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.