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Finding the Fourth Proportional to 3,456.51, 5,184.77 and 1,927.23

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Solution

The fourth proportional to 3,456.51, 5,184.77 and 1,927.23 is: 2,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.51 : 5,184.77 = 1,927.23 : x
  2. Step 2: Convert to fraction form
    3,456.51/5,184.77 = 1,927.23/x
  3. Step 3: Cross multiply
    3,456.51x = 5,184.77 × 1,927.23
  4. Step 4: Simplify right side
    3,456.51x = 9,992,234.65
  5. Step 5: Solve for x
    x = 9,992,234.65/3,456.51
  6. Step 6: Final answer
    x = 2,890.85

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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.