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Finding the Fourth Proportional to 3,919.35, 5,406.84 and 2,347.14

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Solution

The fourth proportional to 3,919.35, 5,406.84 and 2,347.14 is: 3,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.35 : 5,406.84 = 2,347.14 : x
  2. Step 2: Convert to fraction form
    3,919.35/5,406.84 = 2,347.14/x
  3. Step 3: Cross multiply
    3,919.35x = 5,406.84 × 2,347.14
  4. Step 4: Simplify right side
    3,919.35x = 12,690,610.44
  5. Step 5: Solve for x
    x = 12,690,610.44/3,919.35
  6. Step 6: Final answer
    x = 3,237.94

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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.