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Finding the Fourth Proportional to 7,120.82, 9,827.87 and 3,977.01

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Solution

The fourth proportional to 7,120.82, 9,827.87 and 3,977.01 is: 5,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.82 : 9,827.87 = 3,977.01 : x
  2. Step 2: Convert to fraction form
    7,120.82/9,827.87 = 3,977.01/x
  3. Step 3: Cross multiply
    7,120.82x = 9,827.87 × 3,977.01
  4. Step 4: Simplify right side
    7,120.82x = 39,085,517.38
  5. Step 5: Solve for x
    x = 39,085,517.38/7,120.82
  6. Step 6: Final answer
    x = 5,488.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.