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Finding the Fourth Proportional to 3,774.87, 5,208.89 and 2,181.24

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Solution

The fourth proportional to 3,774.87, 5,208.89 and 2,181.24 is: 3,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.87 : 5,208.89 = 2,181.24 : x
  2. Step 2: Convert to fraction form
    3,774.87/5,208.89 = 2,181.24/x
  3. Step 3: Cross multiply
    3,774.87x = 5,208.89 × 2,181.24
  4. Step 4: Simplify right side
    3,774.87x = 11,361,828.32
  5. Step 5: Solve for x
    x = 11,361,828.32/3,774.87
  6. Step 6: Final answer
    x = 3,009.86

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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.