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Finding the Fourth Proportional to 3,873.50, 5,345.40 and 2,105.10

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Solution

The fourth proportional to 3,873.50, 5,345.40 and 2,105.10 is: 2,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.50 : 5,345.40 = 2,105.10 : x
  2. Step 2: Convert to fraction form
    3,873.50/5,345.40 = 2,105.10/x
  3. Step 3: Cross multiply
    3,873.50x = 5,345.40 × 2,105.10
  4. Step 4: Simplify right side
    3,873.50x = 11,252,629.48
  5. Step 5: Solve for x
    x = 11,252,629.48/3,873.50
  6. Step 6: Final answer
    x = 2,905.03

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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.