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Finding the Fourth Proportional to 3,873.92, 5,345.90 and 2,195.48

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Solution

The fourth proportional to 3,873.92, 5,345.90 and 2,195.48 is: 3,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.92 : 5,345.90 = 2,195.48 : x
  2. Step 2: Convert to fraction form
    3,873.92/5,345.90 = 2,195.48/x
  3. Step 3: Cross multiply
    3,873.92x = 5,345.90 × 2,195.48
  4. Step 4: Simplify right side
    3,873.92x = 11,736,837.76
  5. Step 5: Solve for x
    x = 11,736,837.76/3,873.92
  6. Step 6: Final answer
    x = 3,029.70

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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.