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Finding the Fourth Proportional to 5,739.69, 8,589 and 4,498.57

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Solution

The fourth proportional to 5,739.69, 8,589 and 4,498.57 is: 6,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.69 : 8,589 = 4,498.57 : x
  2. Step 2: Convert to fraction form
    5,739.69/8,589 = 4,498.57/x
  3. Step 3: Cross multiply
    5,739.69x = 8,589 × 4,498.57
  4. Step 4: Simplify right side
    5,739.69x = 38,638,217.73
  5. Step 5: Solve for x
    x = 38,638,217.73/5,739.69
  6. Step 6: Final answer
    x = 6,731.76

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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.