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Finding the Fourth Proportional to 4,924.90, 7,383.16 and 2,149.50

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Solution

The fourth proportional to 4,924.90, 7,383.16 and 2,149.50 is: 3,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.90 : 7,383.16 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    4,924.90/7,383.16 = 2,149.50/x
  3. Step 3: Cross multiply
    4,924.90x = 7,383.16 × 2,149.50
  4. Step 4: Simplify right side
    4,924.90x = 15,870,102.96
  5. Step 5: Solve for x
    x = 15,870,102.96/4,924.90
  6. Step 6: Final answer
    x = 3,222.42

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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.