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Finding the Fourth Proportional to 3,873.90, 5,346.04 and 2,105.51

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Solution

The fourth proportional to 3,873.90, 5,346.04 and 2,105.51 is: 2,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.90 : 5,346.04 = 2,105.51 : x
  2. Step 2: Convert to fraction form
    3,873.90/5,346.04 = 2,105.51/x
  3. Step 3: Cross multiply
    3,873.90x = 5,346.04 × 2,105.51
  4. Step 4: Simplify right side
    3,873.90x = 11,256,136.63
  5. Step 5: Solve for x
    x = 11,256,136.63/3,873.90
  6. Step 6: Final answer
    x = 2,905.63

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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.