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Finding the Fourth Proportional to 6,289.20, 8,678.52 and 3,494.16

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Solution

The fourth proportional to 6,289.20, 8,678.52 and 3,494.16 is: 4,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.20 : 8,678.52 = 3,494.16 : x
  2. Step 2: Convert to fraction form
    6,289.20/8,678.52 = 3,494.16/x
  3. Step 3: Cross multiply
    6,289.20x = 8,678.52 × 3,494.16
  4. Step 4: Simplify right side
    6,289.20x = 30,324,137.44
  5. Step 5: Solve for x
    x = 30,324,137.44/6,289.20
  6. Step 6: Final answer
    x = 4,821.62

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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.