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Finding the Fourth Proportional to 5,194.92, 7,169.02 and 2,837.06

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Solution

The fourth proportional to 5,194.92, 7,169.02 and 2,837.06 is: 3,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.92 : 7,169.02 = 2,837.06 : x
  2. Step 2: Convert to fraction form
    5,194.92/7,169.02 = 2,837.06/x
  3. Step 3: Cross multiply
    5,194.92x = 7,169.02 × 2,837.06
  4. Step 4: Simplify right side
    5,194.92x = 20,338,939.88
  5. Step 5: Solve for x
    x = 20,338,939.88/5,194.92
  6. Step 6: Final answer
    x = 3,915.16

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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.