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Finding the Fourth Proportional to 4,919.82, 7,387.12 and 4,233.96

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Solution

The fourth proportional to 4,919.82, 7,387.12 and 4,233.96 is: 6,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.82 : 7,387.12 = 4,233.96 : x
  2. Step 2: Convert to fraction form
    4,919.82/7,387.12 = 4,233.96/x
  3. Step 3: Cross multiply
    4,919.82x = 7,387.12 × 4,233.96
  4. Step 4: Simplify right side
    4,919.82x = 31,276,770.60
  5. Step 5: Solve for x
    x = 31,276,770.60/4,919.82
  6. Step 6: Final answer
    x = 6,357.30

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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.