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Finding the Fourth Proportional to 5,151.96, 7,731.09 and 4,733.73

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Solution

The fourth proportional to 5,151.96, 7,731.09 and 4,733.73 is: 7,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.96 : 7,731.09 = 4,733.73 : x
  2. Step 2: Convert to fraction form
    5,151.96/7,731.09 = 4,733.73/x
  3. Step 3: Cross multiply
    5,151.96x = 7,731.09 × 4,733.73
  4. Step 4: Simplify right side
    5,151.96x = 36,596,892.67
  5. Step 5: Solve for x
    x = 36,596,892.67/5,151.96
  6. Step 6: Final answer
    x = 7,103.49

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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.