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Finding the Fourth Proportional to 5,658.82, 8,493.64 and 3,471.82

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Solution

The fourth proportional to 5,658.82, 8,493.64 and 3,471.82 is: 5,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.82 : 8,493.64 = 3,471.82 : x
  2. Step 2: Convert to fraction form
    5,658.82/8,493.64 = 3,471.82/x
  3. Step 3: Cross multiply
    5,658.82x = 8,493.64 × 3,471.82
  4. Step 4: Simplify right side
    5,658.82x = 29,488,359.31
  5. Step 5: Solve for x
    x = 29,488,359.31/5,658.82
  6. Step 6: Final answer
    x = 5,211.05

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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.