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Finding the Fourth Proportional to 6,171.60, 8,516.78 and 3,519.84

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Solution

The fourth proportional to 6,171.60, 8,516.78 and 3,519.84 is: 4,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.60 : 8,516.78 = 3,519.84 : x
  2. Step 2: Convert to fraction form
    6,171.60/8,516.78 = 3,519.84/x
  3. Step 3: Cross multiply
    6,171.60x = 8,516.78 × 3,519.84
  4. Step 4: Simplify right side
    6,171.60x = 29,977,702.92
  5. Step 5: Solve for x
    x = 29,977,702.92/6,171.60
  6. Step 6: Final answer
    x = 4,857.36

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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.