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Finding the Fourth Proportional to 5,233.96, 7,839.96 and 4,250.08

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Solution

The fourth proportional to 5,233.96, 7,839.96 and 4,250.08 is: 6,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.96 : 7,839.96 = 4,250.08 : x
  2. Step 2: Convert to fraction form
    5,233.96/7,839.96 = 4,250.08/x
  3. Step 3: Cross multiply
    5,233.96x = 7,839.96 × 4,250.08
  4. Step 4: Simplify right side
    5,233.96x = 33,320,457.20
  5. Step 5: Solve for x
    x = 33,320,457.20/5,233.96
  6. Step 6: Final answer
    x = 6,366.20

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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.