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Finding the Fourth Proportional to 3,449.79, 5,173.11 and 984.02

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Solution

The fourth proportional to 3,449.79, 5,173.11 and 984.02 is: 1,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.79 : 5,173.11 = 984.02 : x
  2. Step 2: Convert to fraction form
    3,449.79/5,173.11 = 984.02/x
  3. Step 3: Cross multiply
    3,449.79x = 5,173.11 × 984.02
  4. Step 4: Simplify right side
    3,449.79x = 5,090,443.70
  5. Step 5: Solve for x
    x = 5,090,443.70/3,449.79
  6. Step 6: Final answer
    x = 1,475.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.