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Finding the Fourth Proportional to 3,613.44, 5,420.42 and 1,533.21

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Solution

The fourth proportional to 3,613.44, 5,420.42 and 1,533.21 is: 2,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.44 : 5,420.42 = 1,533.21 : x
  2. Step 2: Convert to fraction form
    3,613.44/5,420.42 = 1,533.21/x
  3. Step 3: Cross multiply
    3,613.44x = 5,420.42 × 1,533.21
  4. Step 4: Simplify right side
    3,613.44x = 8,310,650.39
  5. Step 5: Solve for x
    x = 8,310,650.39/3,613.44
  6. Step 6: Final answer
    x = 2,299.93

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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.