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Finding the Fourth Proportional to 6,264.87, 8,645.43 and 3,576

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Solution

The fourth proportional to 6,264.87, 8,645.43 and 3,576 is: 4,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.87 : 8,645.43 = 3,576 : x
  2. Step 2: Convert to fraction form
    6,264.87/8,645.43 = 3,576/x
  3. Step 3: Cross multiply
    6,264.87x = 8,645.43 × 3,576
  4. Step 4: Simplify right side
    6,264.87x = 30,916,057.68
  5. Step 5: Solve for x
    x = 30,916,057.68/6,264.87
  6. Step 6: Final answer
    x = 4,934.83

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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.