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Finding the Fourth Proportional to 3,449.59, 5,172.82 and 983.82

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Solution

The fourth proportional to 3,449.59, 5,172.82 and 983.82 is: 1,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.59 : 5,172.82 = 983.82 : x
  2. Step 2: Convert to fraction form
    3,449.59/5,172.82 = 983.82/x
  3. Step 3: Cross multiply
    3,449.59x = 5,172.82 × 983.82
  4. Step 4: Simplify right side
    3,449.59x = 5,089,133.08
  5. Step 5: Solve for x
    x = 5,089,133.08/3,449.59
  6. Step 6: Final answer
    x = 1,475.29

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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.