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Finding the Fourth Proportional to 3,513.73, 5,270.02 and 1,173.64

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Solution

The fourth proportional to 3,513.73, 5,270.02 and 1,173.64 is: 1,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.73 : 5,270.02 = 1,173.64 : x
  2. Step 2: Convert to fraction form
    3,513.73/5,270.02 = 1,173.64/x
  3. Step 3: Cross multiply
    3,513.73x = 5,270.02 × 1,173.64
  4. Step 4: Simplify right side
    3,513.73x = 6,185,106.27
  5. Step 5: Solve for x
    x = 6,185,106.27/3,513.73
  6. Step 6: Final answer
    x = 1,760.27

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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.