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Finding the Fourth Proportional to 3,679, 5,077.02 and 2,023

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Solution

The fourth proportional to 3,679, 5,077.02 and 2,023 is: 2,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679 : 5,077.02 = 2,023 : x
  2. Step 2: Convert to fraction form
    3,679/5,077.02 = 2,023/x
  3. Step 3: Cross multiply
    3,679x = 5,077.02 × 2,023
  4. Step 4: Simplify right side
    3,679x = 10,270,811.46
  5. Step 5: Solve for x
    x = 10,270,811.46/3,679
  6. Step 6: Final answer
    x = 2,791.74

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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.