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Finding the Fourth Proportional to 3,944.10, 5,916.04 and 982.52

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Solution

The fourth proportional to 3,944.10, 5,916.04 and 982.52 is: 1,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.10 : 5,916.04 = 982.52 : x
  2. Step 2: Convert to fraction form
    3,944.10/5,916.04 = 982.52/x
  3. Step 3: Cross multiply
    3,944.10x = 5,916.04 × 982.52
  4. Step 4: Simplify right side
    3,944.10x = 5,812,627.62
  5. Step 5: Solve for x
    x = 5,812,627.62/3,944.10
  6. Step 6: Final answer
    x = 1,473.75

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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.