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Finding the Fourth Proportional to 6,504.22, 8,975.78 and 3,520.02

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Solution

The fourth proportional to 6,504.22, 8,975.78 and 3,520.02 is: 4,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.22 : 8,975.78 = 3,520.02 : x
  2. Step 2: Convert to fraction form
    6,504.22/8,975.78 = 3,520.02/x
  3. Step 3: Cross multiply
    6,504.22x = 8,975.78 × 3,520.02
  4. Step 4: Simplify right side
    6,504.22x = 31,594,974.17
  5. Step 5: Solve for x
    x = 31,594,974.17/6,504.22
  6. Step 6: Final answer
    x = 4,857.61

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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.