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Finding the Fourth Proportional to 5,939.49, 8,909.24 and 4,085.00

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Solution

The fourth proportional to 5,939.49, 8,909.24 and 4,085.00 is: 6,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.49 : 8,909.24 = 4,085.00 : x
  2. Step 2: Convert to fraction form
    5,939.49/8,909.24 = 4,085.00/x
  3. Step 3: Cross multiply
    5,939.49x = 8,909.24 × 4,085.00
  4. Step 4: Simplify right side
    5,939.49x = 36,394,180.43
  5. Step 5: Solve for x
    x = 36,394,180.43/5,939.49
  6. Step 6: Final answer
    x = 6,127.49

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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.