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Finding the Fourth Proportional to 4,793.79, 7,181.47 and 3,456.69

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Solution

The fourth proportional to 4,793.79, 7,181.47 and 3,456.69 is: 5,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.79 : 7,181.47 = 3,456.69 : x
  2. Step 2: Convert to fraction form
    4,793.79/7,181.47 = 3,456.69/x
  3. Step 3: Cross multiply
    4,793.79x = 7,181.47 × 3,456.69
  4. Step 4: Simplify right side
    4,793.79x = 24,824,115.53
  5. Step 5: Solve for x
    x = 24,824,115.53/4,793.79
  6. Step 6: Final answer
    x = 5,178.39

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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.