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Finding the Fourth Proportional to 3,093.93, 4,640.36 and 1,533.42

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Solution

The fourth proportional to 3,093.93, 4,640.36 and 1,533.42 is: 2,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.93 : 4,640.36 = 1,533.42 : x
  2. Step 2: Convert to fraction form
    3,093.93/4,640.36 = 1,533.42/x
  3. Step 3: Cross multiply
    3,093.93x = 4,640.36 × 1,533.42
  4. Step 4: Simplify right side
    3,093.93x = 7,115,613.16
  5. Step 5: Solve for x
    x = 7,115,613.16/3,093.93
  6. Step 6: Final answer
    x = 2,299.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.