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Finding the Fourth Proportional to 3,458.58, 5,186.31 and 992.82

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Solution

The fourth proportional to 3,458.58, 5,186.31 and 992.82 is: 1,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.58 : 5,186.31 = 992.82 : x
  2. Step 2: Convert to fraction form
    3,458.58/5,186.31 = 992.82/x
  3. Step 3: Cross multiply
    3,458.58x = 5,186.31 × 992.82
  4. Step 4: Simplify right side
    3,458.58x = 5,149,072.29
  5. Step 5: Solve for x
    x = 5,149,072.29/3,458.58
  6. Step 6: Final answer
    x = 1,488.78

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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.