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Finding the Fourth Proportional to 5,837.75, 8,056.01 and 3,185.10

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Solution

The fourth proportional to 5,837.75, 8,056.01 and 3,185.10 is: 4,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.75 : 8,056.01 = 3,185.10 : x
  2. Step 2: Convert to fraction form
    5,837.75/8,056.01 = 3,185.10/x
  3. Step 3: Cross multiply
    5,837.75x = 8,056.01 × 3,185.10
  4. Step 4: Simplify right side
    5,837.75x = 25,659,181.53
  5. Step 5: Solve for x
    x = 25,659,181.53/5,837.75
  6. Step 6: Final answer
    x = 4,395.39

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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.