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Finding the Fourth Proportional to 5,859, 8,085.42 and 3,206.25

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Solution

The fourth proportional to 5,859, 8,085.42 and 3,206.25 is: 4,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,085.42 = 3,206.25 : x
  2. Step 2: Convert to fraction form
    5,859/8,085.42 = 3,206.25/x
  3. Step 3: Cross multiply
    5,859x = 8,085.42 × 3,206.25
  4. Step 4: Simplify right side
    5,859x = 25,923,877.88
  5. Step 5: Solve for x
    x = 25,923,877.88/5,859
  6. Step 6: Final answer
    x = 4,424.63

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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.