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Finding the Fourth Proportional to 3,661.02, 5,497.01 and 3,168.95

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Solution

The fourth proportional to 3,661.02, 5,497.01 and 3,168.95 is: 4,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.02 : 5,497.01 = 3,168.95 : x
  2. Step 2: Convert to fraction form
    3,661.02/5,497.01 = 3,168.95/x
  3. Step 3: Cross multiply
    3,661.02x = 5,497.01 × 3,168.95
  4. Step 4: Simplify right side
    3,661.02x = 17,419,749.84
  5. Step 5: Solve for x
    x = 17,419,749.84/3,661.02
  6. Step 6: Final answer
    x = 4,758.17

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Why These Related Problems?

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