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Finding the Fourth Proportional to 3,919.74, 5,406.96 and 2,346.92

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Solution

The fourth proportional to 3,919.74, 5,406.96 and 2,346.92 is: 3,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.74 : 5,406.96 = 2,346.92 : x
  2. Step 2: Convert to fraction form
    3,919.74/5,406.96 = 2,346.92/x
  3. Step 3: Cross multiply
    3,919.74x = 5,406.96 × 2,346.92
  4. Step 4: Simplify right side
    3,919.74x = 12,689,702.56
  5. Step 5: Solve for x
    x = 12,689,702.56/3,919.74
  6. Step 6: Final answer
    x = 3,237.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.