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Finding the Fourth Proportional to 5,849.82, 8,793.20 and 5,037.91

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Solution

The fourth proportional to 5,849.82, 8,793.20 and 5,037.91 is: 7,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.82 : 8,793.20 = 5,037.91 : x
  2. Step 2: Convert to fraction form
    5,849.82/8,793.20 = 5,037.91/x
  3. Step 3: Cross multiply
    5,849.82x = 8,793.20 × 5,037.91
  4. Step 4: Simplify right side
    5,849.82x = 44,299,340.82
  5. Step 5: Solve for x
    x = 44,299,340.82/5,849.82
  6. Step 6: Final answer
    x = 7,572.77

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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.