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Finding the Fourth Proportional to 5,196.75, 7,795.13 and 1,734.27

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Solution

The fourth proportional to 5,196.75, 7,795.13 and 1,734.27 is: 2,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.75 : 7,795.13 = 1,734.27 : x
  2. Step 2: Convert to fraction form
    5,196.75/7,795.13 = 1,734.27/x
  3. Step 3: Cross multiply
    5,196.75x = 7,795.13 × 1,734.27
  4. Step 4: Simplify right side
    5,196.75x = 13,518,851.43
  5. Step 5: Solve for x
    x = 13,518,851.43/5,196.75
  6. Step 6: Final answer
    x = 2,601.41

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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.