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Finding the Fourth Proportional to 3,917.84, 5,406.68 and 2,149.42

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Solution

The fourth proportional to 3,917.84, 5,406.68 and 2,149.42 is: 2,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.84 : 5,406.68 = 2,149.42 : x
  2. Step 2: Convert to fraction form
    3,917.84/5,406.68 = 2,149.42/x
  3. Step 3: Cross multiply
    3,917.84x = 5,406.68 × 2,149.42
  4. Step 4: Simplify right side
    3,917.84x = 11,621,228.12
  5. Step 5: Solve for x
    x = 11,621,228.12/3,917.84
  6. Step 6: Final answer
    x = 2,966.24

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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.