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Finding the Fourth Proportional to 3,775.88, 5,209.62 and 2,379.08

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Solution

The fourth proportional to 3,775.88, 5,209.62 and 2,379.08 is: 3,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.88 : 5,209.62 = 2,379.08 : x
  2. Step 2: Convert to fraction form
    3,775.88/5,209.62 = 2,379.08/x
  3. Step 3: Cross multiply
    3,775.88x = 5,209.62 × 2,379.08
  4. Step 4: Simplify right side
    3,775.88x = 12,394,102.75
  5. Step 5: Solve for x
    x = 12,394,102.75/3,775.88
  6. Step 6: Final answer
    x = 3,282.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.