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Finding the Fourth Proportional to 5,855.07, 8,080 and 3,202.48

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Solution

The fourth proportional to 5,855.07, 8,080 and 3,202.48 is: 4,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.07 : 8,080 = 3,202.48 : x
  2. Step 2: Convert to fraction form
    5,855.07/8,080 = 3,202.48/x
  3. Step 3: Cross multiply
    5,855.07x = 8,080 × 3,202.48
  4. Step 4: Simplify right side
    5,855.07x = 25,876,038.40
  5. Step 5: Solve for x
    x = 25,876,038.40/5,855.07
  6. Step 6: Final answer
    x = 4,419.42

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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.