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Finding the Fourth Proportional to 3,873.81, 5,345.87 and 2,105.42

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Solution

The fourth proportional to 3,873.81, 5,345.87 and 2,105.42 is: 2,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.81 : 5,345.87 = 2,105.42 : x
  2. Step 2: Convert to fraction form
    3,873.81/5,345.87 = 2,105.42/x
  3. Step 3: Cross multiply
    3,873.81x = 5,345.87 × 2,105.42
  4. Step 4: Simplify right side
    3,873.81x = 11,255,264.36
  5. Step 5: Solve for x
    x = 11,255,264.36/3,873.81
  6. Step 6: Final answer
    x = 2,905.47

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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.