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Finding the Fourth Proportional to 3,448.09, 5,171.35 and 982.86

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Solution

The fourth proportional to 3,448.09, 5,171.35 and 982.86 is: 1,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.09 : 5,171.35 = 982.86 : x
  2. Step 2: Convert to fraction form
    3,448.09/5,171.35 = 982.86/x
  3. Step 3: Cross multiply
    3,448.09x = 5,171.35 × 982.86
  4. Step 4: Simplify right side
    3,448.09x = 5,082,713.06
  5. Step 5: Solve for x
    x = 5,082,713.06/3,448.09
  6. Step 6: Final answer
    x = 1,474.07

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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.