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Finding the Fourth Proportional to 5,658.26, 8,484.10 and 3,786.29

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Solution

The fourth proportional to 5,658.26, 8,484.10 and 3,786.29 is: 5,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.26 : 8,484.10 = 3,786.29 : x
  2. Step 2: Convert to fraction form
    5,658.26/8,484.10 = 3,786.29/x
  3. Step 3: Cross multiply
    5,658.26x = 8,484.10 × 3,786.29
  4. Step 4: Simplify right side
    5,658.26x = 32,123,265.50
  5. Step 5: Solve for x
    x = 32,123,265.50/5,658.26
  6. Step 6: Final answer
    x = 5,677.23

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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.