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Finding the Fourth Proportional to 3,774.92, 5,209.75 and 2,181.65

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Solution

The fourth proportional to 3,774.92, 5,209.75 and 2,181.65 is: 3,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.92 : 5,209.75 = 2,181.65 : x
  2. Step 2: Convert to fraction form
    3,774.92/5,209.75 = 2,181.65/x
  3. Step 3: Cross multiply
    3,774.92x = 5,209.75 × 2,181.65
  4. Step 4: Simplify right side
    3,774.92x = 11,365,827.77
  5. Step 5: Solve for x
    x = 11,365,827.77/3,774.92
  6. Step 6: Final answer
    x = 3,010.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.