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Finding the Fourth Proportional to 5,855.78, 8,080.97 and 3,203.17

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Solution

The fourth proportional to 5,855.78, 8,080.97 and 3,203.17 is: 4,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.78 : 8,080.97 = 3,203.17 : x
  2. Step 2: Convert to fraction form
    5,855.78/8,080.97 = 3,203.17/x
  3. Step 3: Cross multiply
    5,855.78x = 8,080.97 × 3,203.17
  4. Step 4: Simplify right side
    5,855.78x = 25,884,684.46
  5. Step 5: Solve for x
    x = 25,884,684.46/5,855.78
  6. Step 6: Final answer
    x = 4,420.36

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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.