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Finding the Fourth Proportional to 3,456.83, 5,185.92 and 992.35

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Solution

The fourth proportional to 3,456.83, 5,185.92 and 992.35 is: 1,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.83 : 5,185.92 = 992.35 : x
  2. Step 2: Convert to fraction form
    3,456.83/5,185.92 = 992.35/x
  3. Step 3: Cross multiply
    3,456.83x = 5,185.92 × 992.35
  4. Step 4: Simplify right side
    3,456.83x = 5,146,257.92
  5. Step 5: Solve for x
    x = 5,146,257.92/3,456.83
  6. Step 6: Final answer
    x = 1,488.72

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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.