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Finding the Fourth Proportional to 3,448.34, 5,171.72 and 983.10

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Solution

The fourth proportional to 3,448.34, 5,171.72 and 983.10 is: 1,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.34 : 5,171.72 = 983.10 : x
  2. Step 2: Convert to fraction form
    3,448.34/5,171.72 = 983.10/x
  3. Step 3: Cross multiply
    3,448.34x = 5,171.72 × 983.10
  4. Step 4: Simplify right side
    3,448.34x = 5,084,317.93
  5. Step 5: Solve for x
    x = 5,084,317.93/3,448.34
  6. Step 6: Final answer
    x = 1,474.42

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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.