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Finding the Fourth Proportional to 5,181.41, 7,759.74 and 2,837.90

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Solution

The fourth proportional to 5,181.41, 7,759.74 and 2,837.90 is: 4,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.41 : 7,759.74 = 2,837.90 : x
  2. Step 2: Convert to fraction form
    5,181.41/7,759.74 = 2,837.90/x
  3. Step 3: Cross multiply
    5,181.41x = 7,759.74 × 2,837.90
  4. Step 4: Simplify right side
    5,181.41x = 22,021,366.15
  5. Step 5: Solve for x
    x = 22,021,366.15/5,181.41
  6. Step 6: Final answer
    x = 4,250.07

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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.