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Finding the Fourth Proportional to 5,819.42, 8,732.78 and 2,356.68

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Solution

The fourth proportional to 5,819.42, 8,732.78 and 2,356.68 is: 3,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.42 : 8,732.78 = 2,356.68 : x
  2. Step 2: Convert to fraction form
    5,819.42/8,732.78 = 2,356.68/x
  3. Step 3: Cross multiply
    5,819.42x = 8,732.78 × 2,356.68
  4. Step 4: Simplify right side
    5,819.42x = 20,580,367.97
  5. Step 5: Solve for x
    x = 20,580,367.97/5,819.42
  6. Step 6: Final answer
    x = 3,536.50

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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.