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Finding the Fourth Proportional to 3,448.37, 5,171.84 and 982.53

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Solution

The fourth proportional to 3,448.37, 5,171.84 and 982.53 is: 1,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.37 : 5,171.84 = 982.53 : x
  2. Step 2: Convert to fraction form
    3,448.37/5,171.84 = 982.53/x
  3. Step 3: Cross multiply
    3,448.37x = 5,171.84 × 982.53
  4. Step 4: Simplify right side
    3,448.37x = 5,081,483.04
  5. Step 5: Solve for x
    x = 5,081,483.04/3,448.37
  6. Step 6: Final answer
    x = 1,473.59

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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.