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Finding the Fourth Proportional to 3,387.58, 5,083.00 and 1,197.34

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Solution

The fourth proportional to 3,387.58, 5,083.00 and 1,197.34 is: 1,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.58 : 5,083.00 = 1,197.34 : x
  2. Step 2: Convert to fraction form
    3,387.58/5,083.00 = 1,197.34/x
  3. Step 3: Cross multiply
    3,387.58x = 5,083.00 × 1,197.34
  4. Step 4: Simplify right side
    3,387.58x = 6,086,063.52
  5. Step 5: Solve for x
    x = 6,086,063.52/3,387.58
  6. Step 6: Final answer
    x = 1,796.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.