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Finding the Fourth Proportional to 6,284.06, 8,674.20 and 3,632.60

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Solution

The fourth proportional to 6,284.06, 8,674.20 and 3,632.60 is: 5,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.06 : 8,674.20 = 3,632.60 : x
  2. Step 2: Convert to fraction form
    6,284.06/8,674.20 = 3,632.60/x
  3. Step 3: Cross multiply
    6,284.06x = 8,674.20 × 3,632.60
  4. Step 4: Simplify right side
    6,284.06x = 31,509,898.92
  5. Step 5: Solve for x
    x = 31,509,898.92/6,284.06
  6. Step 6: Final answer
    x = 5,014.26

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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.