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Finding the Fourth Proportional to 3,873.92, 5,340.48 and 2,768

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Solution

The fourth proportional to 3,873.92, 5,340.48 and 2,768 is: 3,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.92 : 5,340.48 = 2,768 : x
  2. Step 2: Convert to fraction form
    3,873.92/5,340.48 = 2,768/x
  3. Step 3: Cross multiply
    3,873.92x = 5,340.48 × 2,768
  4. Step 4: Simplify right side
    3,873.92x = 14,782,448.64
  5. Step 5: Solve for x
    x = 14,782,448.64/3,873.92
  6. Step 6: Final answer
    x = 3,815.89

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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.