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Finding the Fourth Proportional to 6,273.82, 8,658 and 3,441.16

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Solution

The fourth proportional to 6,273.82, 8,658 and 3,441.16 is: 4,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.82 : 8,658 = 3,441.16 : x
  2. Step 2: Convert to fraction form
    6,273.82/8,658 = 3,441.16/x
  3. Step 3: Cross multiply
    6,273.82x = 8,658 × 3,441.16
  4. Step 4: Simplify right side
    6,273.82x = 29,793,563.28
  5. Step 5: Solve for x
    x = 29,793,563.28/6,273.82
  6. Step 6: Final answer
    x = 4,748.87

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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.