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Finding the Fourth Proportional to 3,980.74, 5,969.07 and 1,513.69

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Solution

The fourth proportional to 3,980.74, 5,969.07 and 1,513.69 is: 2,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.74 : 5,969.07 = 1,513.69 : x
  2. Step 2: Convert to fraction form
    3,980.74/5,969.07 = 1,513.69/x
  3. Step 3: Cross multiply
    3,980.74x = 5,969.07 × 1,513.69
  4. Step 4: Simplify right side
    3,980.74x = 9,035,321.57
  5. Step 5: Solve for x
    x = 9,035,321.57/3,980.74
  6. Step 6: Final answer
    x = 2,269.76

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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.