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Finding the Fourth Proportional to 6,586.62, 9,086.49 and 3,790.50

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Solution

The fourth proportional to 6,586.62, 9,086.49 and 3,790.50 is: 5,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.62 : 9,086.49 = 3,790.50 : x
  2. Step 2: Convert to fraction form
    6,586.62/9,086.49 = 3,790.50/x
  3. Step 3: Cross multiply
    6,586.62x = 9,086.49 × 3,790.50
  4. Step 4: Simplify right side
    6,586.62x = 34,442,340.35
  5. Step 5: Solve for x
    x = 34,442,340.35/6,586.62
  6. Step 6: Final answer
    x = 5,229.14

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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.