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Finding the Fourth Proportional to 3,905.32, 5,388.74 and 2,249

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Solution

The fourth proportional to 3,905.32, 5,388.74 and 2,249 is: 3,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.32 : 5,388.74 = 2,249 : x
  2. Step 2: Convert to fraction form
    3,905.32/5,388.74 = 2,249/x
  3. Step 3: Cross multiply
    3,905.32x = 5,388.74 × 2,249
  4. Step 4: Simplify right side
    3,905.32x = 12,119,276.26
  5. Step 5: Solve for x
    x = 12,119,276.26/3,905.32
  6. Step 6: Final answer
    x = 3,103.27

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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.