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Finding the Fourth Proportional to 3,250.68, 4,876.50 and 941.88

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Solution

The fourth proportional to 3,250.68, 4,876.50 and 941.88 is: 1,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.68 : 4,876.50 = 941.88 : x
  2. Step 2: Convert to fraction form
    3,250.68/4,876.50 = 941.88/x
  3. Step 3: Cross multiply
    3,250.68x = 4,876.50 × 941.88
  4. Step 4: Simplify right side
    3,250.68x = 4,593,077.82
  5. Step 5: Solve for x
    x = 4,593,077.82/3,250.68
  6. Step 6: Final answer
    x = 1,412.96

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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.