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Finding the Fourth Proportional to 4,661.72, 6,431.02 and 2,982.28

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Solution

The fourth proportional to 4,661.72, 6,431.02 and 2,982.28 is: 4,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.72 : 6,431.02 = 2,982.28 : x
  2. Step 2: Convert to fraction form
    4,661.72/6,431.02 = 2,982.28/x
  3. Step 3: Cross multiply
    4,661.72x = 6,431.02 × 2,982.28
  4. Step 4: Simplify right side
    4,661.72x = 19,179,102.33
  5. Step 5: Solve for x
    x = 19,179,102.33/4,661.72
  6. Step 6: Final answer
    x = 4,114.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.