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Finding the Fourth Proportional to 5,194.75, 7,168.89 and 2,837.11

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Solution

The fourth proportional to 5,194.75, 7,168.89 and 2,837.11 is: 3,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.75 : 7,168.89 = 2,837.11 : x
  2. Step 2: Convert to fraction form
    5,194.75/7,168.89 = 2,837.11/x
  3. Step 3: Cross multiply
    5,194.75x = 7,168.89 × 2,837.11
  4. Step 4: Simplify right side
    5,194.75x = 20,338,929.51
  5. Step 5: Solve for x
    x = 20,338,929.51/5,194.75
  6. Step 6: Final answer
    x = 3,915.29

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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.