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Finding the Fourth Proportional to 6,164.53, 8,506.27 and 3,511.60

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Solution

The fourth proportional to 6,164.53, 8,506.27 and 3,511.60 is: 4,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.53 : 8,506.27 = 3,511.60 : x
  2. Step 2: Convert to fraction form
    6,164.53/8,506.27 = 3,511.60/x
  3. Step 3: Cross multiply
    6,164.53x = 8,506.27 × 3,511.60
  4. Step 4: Simplify right side
    6,164.53x = 29,870,617.73
  5. Step 5: Solve for x
    x = 29,870,617.73/6,164.53
  6. Step 6: Final answer
    x = 4,845.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.