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Finding the Fourth Proportional to 6,453.47, 8,907.17 and 3,801.43

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Solution

The fourth proportional to 6,453.47, 8,907.17 and 3,801.43 is: 5,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.47 : 8,907.17 = 3,801.43 : x
  2. Step 2: Convert to fraction form
    6,453.47/8,907.17 = 3,801.43/x
  3. Step 3: Cross multiply
    6,453.47x = 8,907.17 × 3,801.43
  4. Step 4: Simplify right side
    6,453.47x = 33,859,975.38
  5. Step 5: Solve for x
    x = 33,859,975.38/6,453.47
  6. Step 6: Final answer
    x = 5,246.78

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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.