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Finding the Fourth Proportional to 4,456.58, 6,687.15 and 1,826

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Solution

The fourth proportional to 4,456.58, 6,687.15 and 1,826 is: 2,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.58 : 6,687.15 = 1,826 : x
  2. Step 2: Convert to fraction form
    4,456.58/6,687.15 = 1,826/x
  3. Step 3: Cross multiply
    4,456.58x = 6,687.15 × 1,826
  4. Step 4: Simplify right side
    4,456.58x = 12,210,735.90
  5. Step 5: Solve for x
    x = 12,210,735.90/4,456.58
  6. Step 6: Final answer
    x = 2,739.93

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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.