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Finding the Fourth Proportional to 6,284.08, 8,674.16 and 3,632.56

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Solution

The fourth proportional to 6,284.08, 8,674.16 and 3,632.56 is: 5,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.08 : 8,674.16 = 3,632.56 : x
  2. Step 2: Convert to fraction form
    6,284.08/8,674.16 = 3,632.56/x
  3. Step 3: Cross multiply
    6,284.08x = 8,674.16 × 3,632.56
  4. Step 4: Simplify right side
    6,284.08x = 31,509,406.65
  5. Step 5: Solve for x
    x = 31,509,406.65/6,284.08
  6. Step 6: Final answer
    x = 5,014.16

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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.