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Finding the Fourth Proportional to 5,101.38, 7,040.28 and 2,977.44

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Solution

The fourth proportional to 5,101.38, 7,040.28 and 2,977.44 is: 4,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.38 : 7,040.28 = 2,977.44 : x
  2. Step 2: Convert to fraction form
    5,101.38/7,040.28 = 2,977.44/x
  3. Step 3: Cross multiply
    5,101.38x = 7,040.28 × 2,977.44
  4. Step 4: Simplify right side
    5,101.38x = 20,962,011.28
  5. Step 5: Solve for x
    x = 20,962,011.28/5,101.38
  6. Step 6: Final answer
    x = 4,109.09

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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.