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Finding the Fourth Proportional to 4,872.48, 7,308.62 and 1,950

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Solution

The fourth proportional to 4,872.48, 7,308.62 and 1,950 is: 2,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.48 : 7,308.62 = 1,950 : x
  2. Step 2: Convert to fraction form
    4,872.48/7,308.62 = 1,950/x
  3. Step 3: Cross multiply
    4,872.48x = 7,308.62 × 1,950
  4. Step 4: Simplify right side
    4,872.48x = 14,251,806.56
  5. Step 5: Solve for x
    x = 14,251,806.56/4,872.48
  6. Step 6: Final answer
    x = 2,924.96

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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.