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Finding the Fourth Proportional to 3,449.07, 5,172.82 and 983.30

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Solution

The fourth proportional to 3,449.07, 5,172.82 and 983.30 is: 1,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.07 : 5,172.82 = 983.30 : x
  2. Step 2: Convert to fraction form
    3,449.07/5,172.82 = 983.30/x
  3. Step 3: Cross multiply
    3,449.07x = 5,172.82 × 983.30
  4. Step 4: Simplify right side
    3,449.07x = 5,086,405.58
  5. Step 5: Solve for x
    x = 5,086,405.58/3,449.07
  6. Step 6: Final answer
    x = 1,474.72

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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.