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Finding the Fourth Proportional to 6,241.96, 9,364.98 and 2,954.61

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Solution

The fourth proportional to 6,241.96, 9,364.98 and 2,954.61 is: 4,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.96 : 9,364.98 = 2,954.61 : x
  2. Step 2: Convert to fraction form
    6,241.96/9,364.98 = 2,954.61/x
  3. Step 3: Cross multiply
    6,241.96x = 9,364.98 × 2,954.61
  4. Step 4: Simplify right side
    6,241.96x = 27,669,874.64
  5. Step 5: Solve for x
    x = 27,669,874.64/6,241.96
  6. Step 6: Final answer
    x = 4,432.88

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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.