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Finding the Fourth Proportional to 3,778.01, 5,652.75 and 3,394.33

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Solution

The fourth proportional to 3,778.01, 5,652.75 and 3,394.33 is: 5,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.01 : 5,652.75 = 3,394.33 : x
  2. Step 2: Convert to fraction form
    3,778.01/5,652.75 = 3,394.33/x
  3. Step 3: Cross multiply
    3,778.01x = 5,652.75 × 3,394.33
  4. Step 4: Simplify right side
    3,778.01x = 19,187,270.64
  5. Step 5: Solve for x
    x = 19,187,270.64/3,778.01
  6. Step 6: Final answer
    x = 5,078.68

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1.5x scale

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.