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Finding the Fourth Proportional to 3,873.40, 5,345.23 and 2,105.02

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Solution

The fourth proportional to 3,873.40, 5,345.23 and 2,105.02 is: 2,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.40 : 5,345.23 = 2,105.02 : x
  2. Step 2: Convert to fraction form
    3,873.40/5,345.23 = 2,105.02/x
  3. Step 3: Cross multiply
    3,873.40x = 5,345.23 × 2,105.02
  4. Step 4: Simplify right side
    3,873.40x = 11,251,784.07
  5. Step 5: Solve for x
    x = 11,251,784.07/3,873.40
  6. Step 6: Final answer
    x = 2,904.88

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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.