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Finding the Fourth Proportional to 5,977.09, 8,241.35 and 4,089.59

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Solution

The fourth proportional to 5,977.09, 8,241.35 and 4,089.59 is: 5,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.09 : 8,241.35 = 4,089.59 : x
  2. Step 2: Convert to fraction form
    5,977.09/8,241.35 = 4,089.59/x
  3. Step 3: Cross multiply
    5,977.09x = 8,241.35 × 4,089.59
  4. Step 4: Simplify right side
    5,977.09x = 33,703,711.80
  5. Step 5: Solve for x
    x = 33,703,711.80/5,977.09
  6. Step 6: Final answer
    x = 5,638.82

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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.