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Finding the Fourth Proportional to 3,778.50, 5,658.46 and 2,605.21

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Solution

The fourth proportional to 3,778.50, 5,658.46 and 2,605.21 is: 3,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.50 : 5,658.46 = 2,605.21 : x
  2. Step 2: Convert to fraction form
    3,778.50/5,658.46 = 2,605.21/x
  3. Step 3: Cross multiply
    3,778.50x = 5,658.46 × 2,605.21
  4. Step 4: Simplify right side
    3,778.50x = 14,741,487.75
  5. Step 5: Solve for x
    x = 14,741,487.75/3,778.50
  6. Step 6: Final answer
    x = 3,901.41

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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.