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Finding the Fourth Proportional to 5,759.42, 8,638.97 and 4,029.18

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Solution

The fourth proportional to 5,759.42, 8,638.97 and 4,029.18 is: 6,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.42 : 8,638.97 = 4,029.18 : x
  2. Step 2: Convert to fraction form
    5,759.42/8,638.97 = 4,029.18/x
  3. Step 3: Cross multiply
    5,759.42x = 8,638.97 × 4,029.18
  4. Step 4: Simplify right side
    5,759.42x = 34,807,965.14
  5. Step 5: Solve for x
    x = 34,807,965.14/5,759.42
  6. Step 6: Final answer
    x = 6,043.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.