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Finding the Fourth Proportional to 3,449.31, 5,173.98 and 984.15

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Solution

The fourth proportional to 3,449.31, 5,173.98 and 984.15 is: 1,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.31 : 5,173.98 = 984.15 : x
  2. Step 2: Convert to fraction form
    3,449.31/5,173.98 = 984.15/x
  3. Step 3: Cross multiply
    3,449.31x = 5,173.98 × 984.15
  4. Step 4: Simplify right side
    3,449.31x = 5,091,956.71
  5. Step 5: Solve for x
    x = 5,091,956.71/3,449.31
  6. Step 6: Final answer
    x = 1,476.23

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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.