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Finding the Fourth Proportional to 6,171.48, 8,520.57 and 3,814.98

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Solution

The fourth proportional to 6,171.48, 8,520.57 and 3,814.98 is: 5,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.48 : 8,520.57 = 3,814.98 : x
  2. Step 2: Convert to fraction form
    6,171.48/8,520.57 = 3,814.98/x
  3. Step 3: Cross multiply
    6,171.48x = 8,520.57 × 3,814.98
  4. Step 4: Simplify right side
    6,171.48x = 32,505,804.14
  5. Step 5: Solve for x
    x = 32,505,804.14/6,171.48
  6. Step 6: Final answer
    x = 5,267.10

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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.