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Finding the Fourth Proportional to 3,813.50, 5,720.10 and 2,147.60

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Solution

The fourth proportional to 3,813.50, 5,720.10 and 2,147.60 is: 3,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.50 : 5,720.10 = 2,147.60 : x
  2. Step 2: Convert to fraction form
    3,813.50/5,720.10 = 2,147.60/x
  3. Step 3: Cross multiply
    3,813.50x = 5,720.10 × 2,147.60
  4. Step 4: Simplify right side
    3,813.50x = 12,284,486.76
  5. Step 5: Solve for x
    x = 12,284,486.76/3,813.50
  6. Step 6: Final answer
    x = 3,221.32

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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.