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Finding the Fourth Proportional to 4,188.58, 5,779.92 and 2,419

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Solution

The fourth proportional to 4,188.58, 5,779.92 and 2,419 is: 3,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.58 : 5,779.92 = 2,419 : x
  2. Step 2: Convert to fraction form
    4,188.58/5,779.92 = 2,419/x
  3. Step 3: Cross multiply
    4,188.58x = 5,779.92 × 2,419
  4. Step 4: Simplify right side
    4,188.58x = 13,981,626.48
  5. Step 5: Solve for x
    x = 13,981,626.48/4,188.58
  6. Step 6: Final answer
    x = 3,338.03

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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.