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Finding the Fourth Proportional to 3,530.73, 5,269.94 and 3,115.60

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Solution

The fourth proportional to 3,530.73, 5,269.94 and 3,115.60 is: 4,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.73 : 5,269.94 = 3,115.60 : x
  2. Step 2: Convert to fraction form
    3,530.73/5,269.94 = 3,115.60/x
  3. Step 3: Cross multiply
    3,530.73x = 5,269.94 × 3,115.60
  4. Step 4: Simplify right side
    3,530.73x = 16,419,025.06
  5. Step 5: Solve for x
    x = 16,419,025.06/3,530.73
  6. Step 6: Final answer
    x = 4,650.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.