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Finding the Fourth Proportional to 4,241.76, 6,352.92 and 4,002

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Solution

The fourth proportional to 4,241.76, 6,352.92 and 4,002 is: 5,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.76 : 6,352.92 = 4,002 : x
  2. Step 2: Convert to fraction form
    4,241.76/6,352.92 = 4,002/x
  3. Step 3: Cross multiply
    4,241.76x = 6,352.92 × 4,002
  4. Step 4: Simplify right side
    4,241.76x = 25,424,385.84
  5. Step 5: Solve for x
    x = 25,424,385.84/4,241.76
  6. Step 6: Final answer
    x = 5,993.83

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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.