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Finding the Fourth Proportional to 3,873.54, 5,345.52 and 2,105.11

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Solution

The fourth proportional to 3,873.54, 5,345.52 and 2,105.11 is: 2,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.54 : 5,345.52 = 2,105.11 : x
  2. Step 2: Convert to fraction form
    3,873.54/5,345.52 = 2,105.11/x
  3. Step 3: Cross multiply
    3,873.54x = 5,345.52 × 2,105.11
  4. Step 4: Simplify right side
    3,873.54x = 11,252,907.61
  5. Step 5: Solve for x
    x = 11,252,907.61/3,873.54
  6. Step 6: Final answer
    x = 2,905.07

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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.