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Finding the Fourth Proportional to 4,241.82, 6,361.50 and 1,776.57

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Solution

The fourth proportional to 4,241.82, 6,361.50 and 1,776.57 is: 2,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.82 : 6,361.50 = 1,776.57 : x
  2. Step 2: Convert to fraction form
    4,241.82/6,361.50 = 1,776.57/x
  3. Step 3: Cross multiply
    4,241.82x = 6,361.50 × 1,776.57
  4. Step 4: Simplify right side
    4,241.82x = 11,301,650.06
  5. Step 5: Solve for x
    x = 11,301,650.06/4,241.82
  6. Step 6: Final answer
    x = 2,664.34

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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.