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Finding the Fourth Proportional to 3,924.36, 5,409.39 and 2,977.11

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Solution

The fourth proportional to 3,924.36, 5,409.39 and 2,977.11 is: 4,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.36 : 5,409.39 = 2,977.11 : x
  2. Step 2: Convert to fraction form
    3,924.36/5,409.39 = 2,977.11/x
  3. Step 3: Cross multiply
    3,924.36x = 5,409.39 × 2,977.11
  4. Step 4: Simplify right side
    3,924.36x = 16,104,349.06
  5. Step 5: Solve for x
    x = 16,104,349.06/3,924.36
  6. Step 6: Final answer
    x = 4,103.69

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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.