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Finding the Fourth Proportional to 4,189.44, 5,781.63 and 2,326.44

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Solution

The fourth proportional to 4,189.44, 5,781.63 and 2,326.44 is: 3,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.44 : 5,781.63 = 2,326.44 : x
  2. Step 2: Convert to fraction form
    4,189.44/5,781.63 = 2,326.44/x
  3. Step 3: Cross multiply
    4,189.44x = 5,781.63 × 2,326.44
  4. Step 4: Simplify right side
    4,189.44x = 13,450,615.30
  5. Step 5: Solve for x
    x = 13,450,615.30/4,189.44
  6. Step 6: Final answer
    x = 3,210.60

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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.