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Finding the Fourth Proportional to 5,854.96, 8,080.08 and 3,202.48

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Solution

The fourth proportional to 5,854.96, 8,080.08 and 3,202.48 is: 4,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.96 : 8,080.08 = 3,202.48 : x
  2. Step 2: Convert to fraction form
    5,854.96/8,080.08 = 3,202.48/x
  3. Step 3: Cross multiply
    5,854.96x = 8,080.08 × 3,202.48
  4. Step 4: Simplify right side
    5,854.96x = 25,876,294.60
  5. Step 5: Solve for x
    x = 25,876,294.60/5,854.96
  6. Step 6: Final answer
    x = 4,419.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.