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Finding the Fourth Proportional to 3,873.99, 5,345.89 and 2,105.58

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Solution

The fourth proportional to 3,873.99, 5,345.89 and 2,105.58 is: 2,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.99 : 5,345.89 = 2,105.58 : x
  2. Step 2: Convert to fraction form
    3,873.99/5,345.89 = 2,105.58/x
  3. Step 3: Cross multiply
    3,873.99x = 5,345.89 × 2,105.58
  4. Step 4: Simplify right side
    3,873.99x = 11,256,199.07
  5. Step 5: Solve for x
    x = 11,256,199.07/3,873.99
  6. Step 6: Final answer
    x = 2,905.58

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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.