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Finding the Fourth Proportional to 6,589.50, 9,097.56 and 4,235.78

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Solution

The fourth proportional to 6,589.50, 9,097.56 and 4,235.78 is: 5,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 9,097.56 = 4,235.78 : x
  2. Step 2: Convert to fraction form
    6,589.50/9,097.56 = 4,235.78/x
  3. Step 3: Cross multiply
    6,589.50x = 9,097.56 × 4,235.78
  4. Step 4: Simplify right side
    6,589.50x = 38,535,217.21
  5. Step 5: Solve for x
    x = 38,535,217.21/6,589.50
  6. Step 6: Final answer
    x = 5,847.97

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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.